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Finding the Fourth Proportional to 11,470.82, 15,807.00 and 8,278.71

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Solution

The fourth proportional to 11,470.82, 15,807.00 and 8,278.71 is: 11,408.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.82 : 15,807.00 = 8,278.71 : x
  2. Step 2: Convert to fraction form
    11,470.82/15,807.00 = 8,278.71/x
  3. Step 3: Cross multiply
    11,470.82x = 15,807.00 × 8,278.71
  4. Step 4: Simplify right side
    11,470.82x = 130,861,494.17
  5. Step 5: Solve for x
    x = 130,861,494.17/11,470.82
  6. Step 6: Final answer
    x = 11,408.21

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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.