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Finding the Fourth Proportional to 5,765.53, 8,651.04 and 3,430.15

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Solution

The fourth proportional to 5,765.53, 8,651.04 and 3,430.15 is: 5,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.53 : 8,651.04 = 3,430.15 : x
  2. Step 2: Convert to fraction form
    5,765.53/8,651.04 = 3,430.15/x
  3. Step 3: Cross multiply
    5,765.53x = 8,651.04 × 3,430.15
  4. Step 4: Simplify right side
    5,765.53x = 29,674,367.70
  5. Step 5: Solve for x
    x = 29,674,367.70/5,765.53
  6. Step 6: Final answer
    x = 5,146.85

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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.