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Finding the Fourth Proportional to 20,537.52, 28,349.04 and 12,154

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Solution

The fourth proportional to 20,537.52, 28,349.04 and 12,154 is: 16,776.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,537.52 : 28,349.04 = 12,154 : x
  2. Step 2: Convert to fraction form
    20,537.52/28,349.04 = 12,154/x
  3. Step 3: Cross multiply
    20,537.52x = 28,349.04 × 12,154
  4. Step 4: Simplify right side
    20,537.52x = 344,554,232.16
  5. Step 5: Solve for x
    x = 344,554,232.16/20,537.52
  6. Step 6: Final answer
    x = 16,776.82

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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.