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Finding the Fourth Proportional to 3,521.64, 5,282.04 and 924.78

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Solution

The fourth proportional to 3,521.64, 5,282.04 and 924.78 is: 1,387.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.64 : 5,282.04 = 924.78 : x
  2. Step 2: Convert to fraction form
    3,521.64/5,282.04 = 924.78/x
  3. Step 3: Cross multiply
    3,521.64x = 5,282.04 × 924.78
  4. Step 4: Simplify right side
    3,521.64x = 4,884,724.95
  5. Step 5: Solve for x
    x = 4,884,724.95/3,521.64
  6. Step 6: Final answer
    x = 1,387.06

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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.