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Finding the Fourth Proportional to 4,932.90, 7,400.16 and 1,645.65

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Solution

The fourth proportional to 4,932.90, 7,400.16 and 1,645.65 is: 2,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.90 : 7,400.16 = 1,645.65 : x
  2. Step 2: Convert to fraction form
    4,932.90/7,400.16 = 1,645.65/x
  3. Step 3: Cross multiply
    4,932.90x = 7,400.16 × 1,645.65
  4. Step 4: Simplify right side
    4,932.90x = 12,178,073.30
  5. Step 5: Solve for x
    x = 12,178,073.30/4,932.90
  6. Step 6: Final answer
    x = 2,468.75

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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.