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Finding the Fourth Proportional to 1,138.36, 1,717.01 and 1,003.10

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Solution

The fourth proportional to 1,138.36, 1,717.01 and 1,003.10 is: 1,512.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.36 : 1,717.01 = 1,003.10 : x
  2. Step 2: Convert to fraction form
    1,138.36/1,717.01 = 1,003.10/x
  3. Step 3: Cross multiply
    1,138.36x = 1,717.01 × 1,003.10
  4. Step 4: Simplify right side
    1,138.36x = 1,722,332.73
  5. Step 5: Solve for x
    x = 1,722,332.73/1,138.36
  6. Step 6: Final answer
    x = 1,512.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.