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Finding the Fourth Proportional to 13,903.91, 20,841.27 and 6,502.13

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Solution

The fourth proportional to 13,903.91, 20,841.27 and 6,502.13 is: 9,746.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,903.91 : 20,841.27 = 6,502.13 : x
  2. Step 2: Convert to fraction form
    13,903.91/20,841.27 = 6,502.13/x
  3. Step 3: Cross multiply
    13,903.91x = 20,841.27 × 6,502.13
  4. Step 4: Simplify right side
    13,903.91x = 135,512,542.70
  5. Step 5: Solve for x
    x = 135,512,542.70/13,903.91
  6. Step 6: Final answer
    x = 9,746.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.