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Finding the Fourth Proportional to 1,668.93, 2,500.96 and 938.71

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Solution

The fourth proportional to 1,668.93, 2,500.96 and 938.71 is: 1,406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.93 : 2,500.96 = 938.71 : x
  2. Step 2: Convert to fraction form
    1,668.93/2,500.96 = 938.71/x
  3. Step 3: Cross multiply
    1,668.93x = 2,500.96 × 938.71
  4. Step 4: Simplify right side
    1,668.93x = 2,347,676.16
  5. Step 5: Solve for x
    x = 2,347,676.16/1,668.93
  6. Step 6: Final answer
    x = 1,406.70

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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.