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Finding the Fourth Proportional to 1,618.01, 2,422.92 and 1,357.40

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Solution

The fourth proportional to 1,618.01, 2,422.92 and 1,357.40 is: 2,032.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.01 : 2,422.92 = 1,357.40 : x
  2. Step 2: Convert to fraction form
    1,618.01/2,422.92 = 1,357.40/x
  3. Step 3: Cross multiply
    1,618.01x = 2,422.92 × 1,357.40
  4. Step 4: Simplify right side
    1,618.01x = 3,288,871.61
  5. Step 5: Solve for x
    x = 3,288,871.61/1,618.01
  6. Step 6: Final answer
    x = 2,032.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.