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Finding the Fourth Proportional to 1,737.38, 2,397.78 and 1,038.75

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Solution

The fourth proportional to 1,737.38, 2,397.78 and 1,038.75 is: 1,433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.38 : 2,397.78 = 1,038.75 : x
  2. Step 2: Convert to fraction form
    1,737.38/2,397.78 = 1,038.75/x
  3. Step 3: Cross multiply
    1,737.38x = 2,397.78 × 1,038.75
  4. Step 4: Simplify right side
    1,737.38x = 2,490,693.98
  5. Step 5: Solve for x
    x = 2,490,693.98/1,737.38
  6. Step 6: Final answer
    x = 1,433.60

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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.