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Finding the Fourth Proportional to 18,974, 28,468.56 and 9,608.96

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Solution

The fourth proportional to 18,974, 28,468.56 and 9,608.96 is: 14,417.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,974 : 28,468.56 = 9,608.96 : x
  2. Step 2: Convert to fraction form
    18,974/28,468.56 = 9,608.96/x
  3. Step 3: Cross multiply
    18,974x = 28,468.56 × 9,608.96
  4. Step 4: Simplify right side
    18,974x = 273,553,254.30
  5. Step 5: Solve for x
    x = 273,553,254.30/18,974
  6. Step 6: Final answer
    x = 14,417.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.