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Finding the Fourth Proportional to 7,153.92, 9,882.56 and 6,808.32

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Solution

The fourth proportional to 7,153.92, 9,882.56 and 6,808.32 is: 9,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.92 : 9,882.56 = 6,808.32 : x
  2. Step 2: Convert to fraction form
    7,153.92/9,882.56 = 6,808.32/x
  3. Step 3: Cross multiply
    7,153.92x = 9,882.56 × 6,808.32
  4. Step 4: Simplify right side
    7,153.92x = 67,283,630.90
  5. Step 5: Solve for x
    x = 67,283,630.90/7,153.92
  6. Step 6: Final answer
    x = 9,405.14

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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.