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Finding the Fourth Proportional to 21,454.52, 29,607.18 and 12,023

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Solution

The fourth proportional to 21,454.52, 29,607.18 and 12,023 is: 16,591.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,454.52 : 29,607.18 = 12,023 : x
  2. Step 2: Convert to fraction form
    21,454.52/29,607.18 = 12,023/x
  3. Step 3: Cross multiply
    21,454.52x = 29,607.18 × 12,023
  4. Step 4: Simplify right side
    21,454.52x = 355,967,125.14
  5. Step 5: Solve for x
    x = 355,967,125.14/21,454.52
  6. Step 6: Final answer
    x = 16,591.71

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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.