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Finding the Fourth Proportional to 3,521.81, 5,282.72 and 924.75

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Solution

The fourth proportional to 3,521.81, 5,282.72 and 924.75 is: 1,387.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.81 : 5,282.72 = 924.75 : x
  2. Step 2: Convert to fraction form
    3,521.81/5,282.72 = 924.75/x
  3. Step 3: Cross multiply
    3,521.81x = 5,282.72 × 924.75
  4. Step 4: Simplify right side
    3,521.81x = 4,885,194.16
  5. Step 5: Solve for x
    x = 4,885,194.16/3,521.81
  6. Step 6: Final answer
    x = 1,387.13

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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.