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Finding the Fourth Proportional to 8,489.88, 11,678.76 and 8,006.04

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Solution

The fourth proportional to 8,489.88, 11,678.76 and 8,006.04 is: 11,013.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.88 : 11,678.76 = 8,006.04 : x
  2. Step 2: Convert to fraction form
    8,489.88/11,678.76 = 8,006.04/x
  3. Step 3: Cross multiply
    8,489.88x = 11,678.76 × 8,006.04
  4. Step 4: Simplify right side
    8,489.88x = 93,500,619.71
  5. Step 5: Solve for x
    x = 93,500,619.71/8,489.88
  6. Step 6: Final answer
    x = 11,013.19

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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.