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Finding the Fourth Proportional to 23,137.49, 34,715.48 and 13,781.99

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Solution

The fourth proportional to 23,137.49, 34,715.48 and 13,781.99 is: 20,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,137.49 : 34,715.48 = 13,781.99 : x
  2. Step 2: Convert to fraction form
    23,137.49/34,715.48 = 13,781.99/x
  3. Step 3: Cross multiply
    23,137.49x = 34,715.48 × 13,781.99
  4. Step 4: Simplify right side
    23,137.49x = 478,448,155.72
  5. Step 5: Solve for x
    x = 478,448,155.72/23,137.49
  6. Step 6: Final answer
    x = 20,678.49

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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.