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Finding the Fourth Proportional to 10,149.65, 14,008.77 and 6,169.92

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Solution

The fourth proportional to 10,149.65, 14,008.77 and 6,169.92 is: 8,515.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.65 : 14,008.77 = 6,169.92 : x
  2. Step 2: Convert to fraction form
    10,149.65/14,008.77 = 6,169.92/x
  3. Step 3: Cross multiply
    10,149.65x = 14,008.77 × 6,169.92
  4. Step 4: Simplify right side
    10,149.65x = 86,432,920.15
  5. Step 5: Solve for x
    x = 86,432,920.15/10,149.65
  6. Step 6: Final answer
    x = 8,515.86

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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.