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Finding the Fourth Proportional to 3,390.12, 5,085.24 and 925.20

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Solution

The fourth proportional to 3,390.12, 5,085.24 and 925.20 is: 1,387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.12 : 5,085.24 = 925.20 : x
  2. Step 2: Convert to fraction form
    3,390.12/5,085.24 = 925.20/x
  3. Step 3: Cross multiply
    3,390.12x = 5,085.24 × 925.20
  4. Step 4: Simplify right side
    3,390.12x = 4,704,864.05
  5. Step 5: Solve for x
    x = 4,704,864.05/3,390.12
  6. Step 6: Final answer
    x = 1,387.82

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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.