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Finding the Fourth Proportional to 3,521.62, 5,282.84 and 924.76

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Solution

The fourth proportional to 3,521.62, 5,282.84 and 924.76 is: 1,387.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.62 : 5,282.84 = 924.76 : x
  2. Step 2: Convert to fraction form
    3,521.62/5,282.84 = 924.76/x
  3. Step 3: Cross multiply
    3,521.62x = 5,282.84 × 924.76
  4. Step 4: Simplify right side
    3,521.62x = 4,885,359.12
  5. Step 5: Solve for x
    x = 4,885,359.12/3,521.62
  6. Step 6: Final answer
    x = 1,387.25

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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.