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Finding the Fourth Proportional to 11,142.76, 15,377.70 and 6,174.76

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Solution

The fourth proportional to 11,142.76, 15,377.70 and 6,174.76 is: 8,521.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.76 : 15,377.70 = 6,174.76 : x
  2. Step 2: Convert to fraction form
    11,142.76/15,377.70 = 6,174.76/x
  3. Step 3: Cross multiply
    11,142.76x = 15,377.70 × 6,174.76
  4. Step 4: Simplify right side
    11,142.76x = 94,953,606.85
  5. Step 5: Solve for x
    x = 94,953,606.85/11,142.76
  6. Step 6: Final answer
    x = 8,521.55

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Half scale
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Double scale
Find fourth proportional to 11,143.76, 15,379.08 and 6,175.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.