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Finding the Fourth Proportional to 1,874.80, 2,587.20 and 1,035.49

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Solution

The fourth proportional to 1,874.80, 2,587.20 and 1,035.49 is: 1,428.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.80 : 2,587.20 = 1,035.49 : x
  2. Step 2: Convert to fraction form
    1,874.80/2,587.20 = 1,035.49/x
  3. Step 3: Cross multiply
    1,874.80x = 2,587.20 × 1,035.49
  4. Step 4: Simplify right side
    1,874.80x = 2,679,019.73
  5. Step 5: Solve for x
    x = 2,679,019.73/1,874.80
  6. Step 6: Final answer
    x = 1,428.96

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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.