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Finding the Fourth Proportional to 1,731.38, 2,389.38 and 945.50

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Solution

The fourth proportional to 1,731.38, 2,389.38 and 945.50 is: 1,304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.38 : 2,389.38 = 945.50 : x
  2. Step 2: Convert to fraction form
    1,731.38/2,389.38 = 945.50/x
  3. Step 3: Cross multiply
    1,731.38x = 2,389.38 × 945.50
  4. Step 4: Simplify right side
    1,731.38x = 2,259,158.79
  5. Step 5: Solve for x
    x = 2,259,158.79/1,731.38
  6. Step 6: Final answer
    x = 1,304.83

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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.