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Finding the Fourth Proportional to 22,874.87, 31,557.92 and 13,920.90

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Solution

The fourth proportional to 22,874.87, 31,557.92 and 13,920.90 is: 19,205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,874.87 : 31,557.92 = 13,920.90 : x
  2. Step 2: Convert to fraction form
    22,874.87/31,557.92 = 13,920.90/x
  3. Step 3: Cross multiply
    22,874.87x = 31,557.92 × 13,920.90
  4. Step 4: Simplify right side
    22,874.87x = 439,314,578.92
  5. Step 5: Solve for x
    x = 439,314,578.92/22,874.87
  6. Step 6: Final answer
    x = 19,205.12

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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.