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Finding the Fourth Proportional to 21,640.57, 29,856.20 and 13,146.20

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Solution

The fourth proportional to 21,640.57, 29,856.20 and 13,146.20 is: 18,137.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,640.57 : 29,856.20 = 13,146.20 : x
  2. Step 2: Convert to fraction form
    21,640.57/29,856.20 = 13,146.20/x
  3. Step 3: Cross multiply
    21,640.57x = 29,856.20 × 13,146.20
  4. Step 4: Simplify right side
    21,640.57x = 392,495,473.39
  5. Step 5: Solve for x
    x = 392,495,473.39/21,640.57
  6. Step 6: Final answer
    x = 18,137.02

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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.