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Finding the Fourth Proportional to 8,509.70, 12,755.10 and 3,577.88

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Solution

The fourth proportional to 8,509.70, 12,755.10 and 3,577.88 is: 5,362.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.70 : 12,755.10 = 3,577.88 : x
  2. Step 2: Convert to fraction form
    8,509.70/12,755.10 = 3,577.88/x
  3. Step 3: Cross multiply
    8,509.70x = 12,755.10 × 3,577.88
  4. Step 4: Simplify right side
    8,509.70x = 45,636,217.19
  5. Step 5: Solve for x
    x = 45,636,217.19/8,509.70
  6. Step 6: Final answer
    x = 5,362.85

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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.