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Finding the Fourth Proportional to 1,103, 1,520.38 and 1,014.71

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Solution

The fourth proportional to 1,103, 1,520.38 and 1,014.71 is: 1,398.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103 : 1,520.38 = 1,014.71 : x
  2. Step 2: Convert to fraction form
    1,103/1,520.38 = 1,014.71/x
  3. Step 3: Cross multiply
    1,103x = 1,520.38 × 1,014.71
  4. Step 4: Simplify right side
    1,103x = 1,542,744.79
  5. Step 5: Solve for x
    x = 1,542,744.79/1,103
  6. Step 6: Final answer
    x = 1,398.68

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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.