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Finding the Fourth Proportional to 1,001.83, 1,381.83 and 919.21

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Solution

The fourth proportional to 1,001.83, 1,381.83 and 919.21 is: 1,267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.83 : 1,381.83 = 919.21 : x
  2. Step 2: Convert to fraction form
    1,001.83/1,381.83 = 919.21/x
  3. Step 3: Cross multiply
    1,001.83x = 1,381.83 × 919.21
  4. Step 4: Simplify right side
    1,001.83x = 1,270,191.95
  5. Step 5: Solve for x
    x = 1,270,191.95/1,001.83
  6. Step 6: Final answer
    x = 1,267.87

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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.