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Finding the Fourth Proportional to 1,418.66, 1,957.34 and 821.10

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Solution

The fourth proportional to 1,418.66, 1,957.34 and 821.10 is: 1,132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.66 : 1,957.34 = 821.10 : x
  2. Step 2: Convert to fraction form
    1,418.66/1,957.34 = 821.10/x
  3. Step 3: Cross multiply
    1,418.66x = 1,957.34 × 821.10
  4. Step 4: Simplify right side
    1,418.66x = 1,607,167.77
  5. Step 5: Solve for x
    x = 1,607,167.77/1,418.66
  6. Step 6: Final answer
    x = 1,132.88

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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.