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Finding the Fourth Proportional to 13,710.42, 20,565.63 and 12,640.41

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Solution

The fourth proportional to 13,710.42, 20,565.63 and 12,640.41 is: 18,960.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.42 : 20,565.63 = 12,640.41 : x
  2. Step 2: Convert to fraction form
    13,710.42/20,565.63 = 12,640.41/x
  3. Step 3: Cross multiply
    13,710.42x = 20,565.63 × 12,640.41
  4. Step 4: Simplify right side
    13,710.42x = 259,957,995.11
  5. Step 5: Solve for x
    x = 259,957,995.11/13,710.42
  6. Step 6: Final answer
    x = 18,960.62

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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.