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Finding the Fourth Proportional to 10,491.64, 14,476.82 and 6,242.85

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Solution

The fourth proportional to 10,491.64, 14,476.82 and 6,242.85 is: 8,614.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.64 : 14,476.82 = 6,242.85 : x
  2. Step 2: Convert to fraction form
    10,491.64/14,476.82 = 6,242.85/x
  3. Step 3: Cross multiply
    10,491.64x = 14,476.82 × 6,242.85
  4. Step 4: Simplify right side
    10,491.64x = 90,376,584.52
  5. Step 5: Solve for x
    x = 90,376,584.52/10,491.64
  6. Step 6: Final answer
    x = 8,614.15

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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.