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Finding the Fourth Proportional to 8,553.68, 11,767.08 and 6,978.32

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Solution

The fourth proportional to 8,553.68, 11,767.08 and 6,978.32 is: 9,599.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553.68 : 11,767.08 = 6,978.32 : x
  2. Step 2: Convert to fraction form
    8,553.68/11,767.08 = 6,978.32/x
  3. Step 3: Cross multiply
    8,553.68x = 11,767.08 × 6,978.32
  4. Step 4: Simplify right side
    8,553.68x = 82,114,449.71
  5. Step 5: Solve for x
    x = 82,114,449.71/8,553.68
  6. Step 6: Final answer
    x = 9,599.90

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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.