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Finding the Fourth Proportional to 1,924.97, 2,658.42 and 1,658.88

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Solution

The fourth proportional to 1,924.97, 2,658.42 and 1,658.88 is: 2,290.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.97 : 2,658.42 = 1,658.88 : x
  2. Step 2: Convert to fraction form
    1,924.97/2,658.42 = 1,658.88/x
  3. Step 3: Cross multiply
    1,924.97x = 2,658.42 × 1,658.88
  4. Step 4: Simplify right side
    1,924.97x = 4,409,999.77
  5. Step 5: Solve for x
    x = 4,409,999.77/1,924.97
  6. Step 6: Final answer
    x = 2,290.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.