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Finding the Fourth Proportional to 1,436.93, 2,151.91 and 818.74

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Solution

The fourth proportional to 1,436.93, 2,151.91 and 818.74 is: 1,226.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.93 : 2,151.91 = 818.74 : x
  2. Step 2: Convert to fraction form
    1,436.93/2,151.91 = 818.74/x
  3. Step 3: Cross multiply
    1,436.93x = 2,151.91 × 818.74
  4. Step 4: Simplify right side
    1,436.93x = 1,761,854.79
  5. Step 5: Solve for x
    x = 1,761,854.79/1,436.93
  6. Step 6: Final answer
    x = 1,226.12

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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.