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Finding the Fourth Proportional to 8,089.68, 11,135.68 and 6,974.31

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Solution

The fourth proportional to 8,089.68, 11,135.68 and 6,974.31 is: 9,600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.68 : 11,135.68 = 6,974.31 : x
  2. Step 2: Convert to fraction form
    8,089.68/11,135.68 = 6,974.31/x
  3. Step 3: Cross multiply
    8,089.68x = 11,135.68 × 6,974.31
  4. Step 4: Simplify right side
    8,089.68x = 77,663,684.38
  5. Step 5: Solve for x
    x = 77,663,684.38/8,089.68
  6. Step 6: Final answer
    x = 9,600.34

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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.