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Finding the Fourth Proportional to 1,658.64, 2,491.20 and 1,350.72

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Solution

The fourth proportional to 1,658.64, 2,491.20 and 1,350.72 is: 2,028.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.64 : 2,491.20 = 1,350.72 : x
  2. Step 2: Convert to fraction form
    1,658.64/2,491.20 = 1,350.72/x
  3. Step 3: Cross multiply
    1,658.64x = 2,491.20 × 1,350.72
  4. Step 4: Simplify right side
    1,658.64x = 3,364,913.66
  5. Step 5: Solve for x
    x = 3,364,913.66/1,658.64
  6. Step 6: Final answer
    x = 2,028.72

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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.