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Finding the Fourth Proportional to 11,668.57, 17,488.73 and 8,374.86

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Solution

The fourth proportional to 11,668.57, 17,488.73 and 8,374.86 is: 12,552.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.57 : 17,488.73 = 8,374.86 : x
  2. Step 2: Convert to fraction form
    11,668.57/17,488.73 = 8,374.86/x
  3. Step 3: Cross multiply
    11,668.57x = 17,488.73 × 8,374.86
  4. Step 4: Simplify right side
    11,668.57x = 146,465,639.16
  5. Step 5: Solve for x
    x = 146,465,639.16/11,668.57
  6. Step 6: Final answer
    x = 12,552.15

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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.