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Finding the Fourth Proportional to 1,658.81, 2,489.84 and 1,354.25

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Solution

The fourth proportional to 1,658.81, 2,489.84 and 1,354.25 is: 2,032.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.81 : 2,489.84 = 1,354.25 : x
  2. Step 2: Convert to fraction form
    1,658.81/2,489.84 = 1,354.25/x
  3. Step 3: Cross multiply
    1,658.81x = 2,489.84 × 1,354.25
  4. Step 4: Simplify right side
    1,658.81x = 3,371,846.60
  5. Step 5: Solve for x
    x = 3,371,846.60/1,658.81
  6. Step 6: Final answer
    x = 2,032.70

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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.