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Finding the Fourth Proportional to 22,758.87, 31,409.12 and 12,551.90

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Solution

The fourth proportional to 22,758.87, 31,409.12 and 12,551.90 is: 17,322.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.87 : 31,409.12 = 12,551.90 : x
  2. Step 2: Convert to fraction form
    22,758.87/31,409.12 = 12,551.90/x
  3. Step 3: Cross multiply
    22,758.87x = 31,409.12 × 12,551.90
  4. Step 4: Simplify right side
    22,758.87x = 394,244,172.63
  5. Step 5: Solve for x
    x = 394,244,172.63/22,758.87
  6. Step 6: Final answer
    x = 17,322.66

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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.