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Finding the Fourth Proportional to 2,642.70, 3,970.17 and 1,658.58

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Solution

The fourth proportional to 2,642.70, 3,970.17 and 1,658.58 is: 2,491.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.70 : 3,970.17 = 1,658.58 : x
  2. Step 2: Convert to fraction form
    2,642.70/3,970.17 = 1,658.58/x
  3. Step 3: Cross multiply
    2,642.70x = 3,970.17 × 1,658.58
  4. Step 4: Simplify right side
    2,642.70x = 6,584,844.56
  5. Step 5: Solve for x
    x = 6,584,844.56/2,642.70
  6. Step 6: Final answer
    x = 2,491.71

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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.