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Finding the Fourth Proportional to 1,419.97, 1,957.48 and 1,219.90

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Solution

The fourth proportional to 1,419.97, 1,957.48 and 1,219.90 is: 1,681.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.97 : 1,957.48 = 1,219.90 : x
  2. Step 2: Convert to fraction form
    1,419.97/1,957.48 = 1,219.90/x
  3. Step 3: Cross multiply
    1,419.97x = 1,957.48 × 1,219.90
  4. Step 4: Simplify right side
    1,419.97x = 2,387,929.85
  5. Step 5: Solve for x
    x = 2,387,929.85/1,419.97
  6. Step 6: Final answer
    x = 1,681.68

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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.