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Finding the Fourth Proportional to 11,142.88, 15,377.18 and 6,174.88

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Solution

The fourth proportional to 11,142.88, 15,377.18 and 6,174.88 is: 8,521.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.88 : 15,377.18 = 6,174.88 : x
  2. Step 2: Convert to fraction form
    11,142.88/15,377.18 = 6,174.88/x
  3. Step 3: Cross multiply
    11,142.88x = 15,377.18 × 6,174.88
  4. Step 4: Simplify right side
    11,142.88x = 94,952,241.24
  5. Step 5: Solve for x
    x = 94,952,241.24/11,142.88
  6. Step 6: Final answer
    x = 8,521.34

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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.