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Finding the Fourth Proportional to 1,384.97, 1,909.42 and 1,119.11

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Solution

The fourth proportional to 1,384.97, 1,909.42 and 1,119.11 is: 1,542.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.97 : 1,909.42 = 1,119.11 : x
  2. Step 2: Convert to fraction form
    1,384.97/1,909.42 = 1,119.11/x
  3. Step 3: Cross multiply
    1,384.97x = 1,909.42 × 1,119.11
  4. Step 4: Simplify right side
    1,384.97x = 2,136,851.02
  5. Step 5: Solve for x
    x = 2,136,851.02/1,384.97
  6. Step 6: Final answer
    x = 1,542.89

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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.