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Finding the Fourth Proportional to 10,589.47, 15,875.39 and 8,259.80

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Solution

The fourth proportional to 10,589.47, 15,875.39 and 8,259.80 is: 12,382.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.47 : 15,875.39 = 8,259.80 : x
  2. Step 2: Convert to fraction form
    10,589.47/15,875.39 = 8,259.80/x
  3. Step 3: Cross multiply
    10,589.47x = 15,875.39 × 8,259.80
  4. Step 4: Simplify right side
    10,589.47x = 131,127,487.59
  5. Step 5: Solve for x
    x = 131,127,487.59/10,589.47
  6. Step 6: Final answer
    x = 12,382.82

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1.5x scale

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.