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Finding the Fourth Proportional to 22,970.92, 31,707.84 and 13,538.92

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Solution

The fourth proportional to 22,970.92, 31,707.84 and 13,538.92 is: 18,688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.92 : 31,707.84 = 13,538.92 : x
  2. Step 2: Convert to fraction form
    22,970.92/31,707.84 = 13,538.92/x
  3. Step 3: Cross multiply
    22,970.92x = 31,707.84 × 13,538.92
  4. Step 4: Simplify right side
    22,970.92x = 429,289,909.13
  5. Step 5: Solve for x
    x = 429,289,909.13/22,970.92
  6. Step 6: Final answer
    x = 18,688.41

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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.