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Finding the Fourth Proportional to 1,925.64, 2,658.07 and 1,139.69

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Solution

The fourth proportional to 1,925.64, 2,658.07 and 1,139.69 is: 1,573.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.64 : 2,658.07 = 1,139.69 : x
  2. Step 2: Convert to fraction form
    1,925.64/2,658.07 = 1,139.69/x
  3. Step 3: Cross multiply
    1,925.64x = 2,658.07 × 1,139.69
  4. Step 4: Simplify right side
    1,925.64x = 3,029,375.80
  5. Step 5: Solve for x
    x = 3,029,375.80/1,925.64
  6. Step 6: Final answer
    x = 1,573.18

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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.