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Finding the Fourth Proportional to 18,129.44, 24,972 and 12,815.12

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Solution

The fourth proportional to 18,129.44, 24,972 and 12,815.12 is: 17,651.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,129.44 : 24,972 = 12,815.12 : x
  2. Step 2: Convert to fraction form
    18,129.44/24,972 = 12,815.12/x
  3. Step 3: Cross multiply
    18,129.44x = 24,972 × 12,815.12
  4. Step 4: Simplify right side
    18,129.44x = 320,019,176.64
  5. Step 5: Solve for x
    x = 320,019,176.64/18,129.44
  6. Step 6: Final answer
    x = 17,651.91

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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.