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Finding the Fourth Proportional to 5,624.70, 8,429.70 and 2,505.66

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Solution

The fourth proportional to 5,624.70, 8,429.70 and 2,505.66 is: 3,755.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.70 : 8,429.70 = 2,505.66 : x
  2. Step 2: Convert to fraction form
    5,624.70/8,429.70 = 2,505.66/x
  3. Step 3: Cross multiply
    5,624.70x = 8,429.70 × 2,505.66
  4. Step 4: Simplify right side
    5,624.70x = 21,121,962.10
  5. Step 5: Solve for x
    x = 21,121,962.10/5,624.70
  6. Step 6: Final answer
    x = 3,755.22

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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.