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Finding the Fourth Proportional to 1,418.01, 1,956.32 and 1,045.88

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Solution

The fourth proportional to 1,418.01, 1,956.32 and 1,045.88 is: 1,442.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.01 : 1,956.32 = 1,045.88 : x
  2. Step 2: Convert to fraction form
    1,418.01/1,956.32 = 1,045.88/x
  3. Step 3: Cross multiply
    1,418.01x = 1,956.32 × 1,045.88
  4. Step 4: Simplify right side
    1,418.01x = 2,046,060.95
  5. Step 5: Solve for x
    x = 2,046,060.95/1,418.01
  6. Step 6: Final answer
    x = 1,442.91

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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.