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Finding the Fourth Proportional to 2,347.31, 3,521.17 and 615.94

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Solution

The fourth proportional to 2,347.31, 3,521.17 and 615.94 is: 923.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.31 : 3,521.17 = 615.94 : x
  2. Step 2: Convert to fraction form
    2,347.31/3,521.17 = 615.94/x
  3. Step 3: Cross multiply
    2,347.31x = 3,521.17 × 615.94
  4. Step 4: Simplify right side
    2,347.31x = 2,168,821.42
  5. Step 5: Solve for x
    x = 2,168,821.42/2,347.31
  6. Step 6: Final answer
    x = 923.96

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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.