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Finding the Fourth Proportional to 13,597.71, 20,398.47 and 4,238.43

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Solution

The fourth proportional to 13,597.71, 20,398.47 and 4,238.43 is: 6,358.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.71 : 20,398.47 = 4,238.43 : x
  2. Step 2: Convert to fraction form
    13,597.71/20,398.47 = 4,238.43/x
  3. Step 3: Cross multiply
    13,597.71x = 20,398.47 × 4,238.43
  4. Step 4: Simplify right side
    13,597.71x = 86,457,487.20
  5. Step 5: Solve for x
    x = 86,457,487.20/13,597.71
  6. Step 6: Final answer
    x = 6,358.24

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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.