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Finding the Fourth Proportional to 12,909.65, 17,817.82 and 7,532.71

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Solution

The fourth proportional to 12,909.65, 17,817.82 and 7,532.71 is: 10,396.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.65 : 17,817.82 = 7,532.71 : x
  2. Step 2: Convert to fraction form
    12,909.65/17,817.82 = 7,532.71/x
  3. Step 3: Cross multiply
    12,909.65x = 17,817.82 × 7,532.71
  4. Step 4: Simplify right side
    12,909.65x = 134,216,550.11
  5. Step 5: Solve for x
    x = 134,216,550.11/12,909.65
  6. Step 6: Final answer
    x = 10,396.61

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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.