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Finding the Fourth Proportional to 8,577.16, 12,849.09 and 6,321.59

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Solution

The fourth proportional to 8,577.16, 12,849.09 and 6,321.59 is: 9,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.16 : 12,849.09 = 6,321.59 : x
  2. Step 2: Convert to fraction form
    8,577.16/12,849.09 = 6,321.59/x
  3. Step 3: Cross multiply
    8,577.16x = 12,849.09 × 6,321.59
  4. Step 4: Simplify right side
    8,577.16x = 81,226,598.80
  5. Step 5: Solve for x
    x = 81,226,598.80/8,577.16
  6. Step 6: Final answer
    x = 9,470.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.