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Finding the Fourth Proportional to 1,138.11, 1,565.08 and 911.21

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Solution

The fourth proportional to 1,138.11, 1,565.08 and 911.21 is: 1,253.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.11 : 1,565.08 = 911.21 : x
  2. Step 2: Convert to fraction form
    1,138.11/1,565.08 = 911.21/x
  3. Step 3: Cross multiply
    1,138.11x = 1,565.08 × 911.21
  4. Step 4: Simplify right side
    1,138.11x = 1,426,116.55
  5. Step 5: Solve for x
    x = 1,426,116.55/1,138.11
  6. Step 6: Final answer
    x = 1,253.06

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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.