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Finding the Fourth Proportional to 7,702.88, 10,682.68 and 7,221.74

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Solution

The fourth proportional to 7,702.88, 10,682.68 and 7,221.74 is: 10,015.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.88 : 10,682.68 = 7,221.74 : x
  2. Step 2: Convert to fraction form
    7,702.88/10,682.68 = 7,221.74/x
  3. Step 3: Cross multiply
    7,702.88x = 10,682.68 × 7,221.74
  4. Step 4: Simplify right side
    7,702.88x = 77,147,537.46
  5. Step 5: Solve for x
    x = 77,147,537.46/7,702.88
  6. Step 6: Final answer
    x = 10,015.41

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.