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Finding the Fourth Proportional to 4,459.52, 6,690 and 3,645.20

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Solution

The fourth proportional to 4,459.52, 6,690 and 3,645.20 is: 5,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,459.52 : 6,690 = 3,645.20 : x
  2. Step 2: Convert to fraction form
    4,459.52/6,690 = 3,645.20/x
  3. Step 3: Cross multiply
    4,459.52x = 6,690 × 3,645.20
  4. Step 4: Simplify right side
    4,459.52x = 24,386,388
  5. Step 5: Solve for x
    x = 24,386,388/4,459.52
  6. Step 6: Final answer
    x = 5,468.39

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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.