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Finding the Fourth Proportional to 3,585.28, 5,377.92 and 988.42

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Solution

The fourth proportional to 3,585.28, 5,377.92 and 988.42 is: 1,482.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.28 : 5,377.92 = 988.42 : x
  2. Step 2: Convert to fraction form
    3,585.28/5,377.92 = 988.42/x
  3. Step 3: Cross multiply
    3,585.28x = 5,377.92 × 988.42
  4. Step 4: Simplify right side
    3,585.28x = 5,315,643.69
  5. Step 5: Solve for x
    x = 5,315,643.69/3,585.28
  6. Step 6: Final answer
    x = 1,482.63

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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.