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Finding the Fourth Proportional to 1,841.93, 2,760.80 and 916.55

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Solution

The fourth proportional to 1,841.93, 2,760.80 and 916.55 is: 1,373.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.93 : 2,760.80 = 916.55 : x
  2. Step 2: Convert to fraction form
    1,841.93/2,760.80 = 916.55/x
  3. Step 3: Cross multiply
    1,841.93x = 2,760.80 × 916.55
  4. Step 4: Simplify right side
    1,841.93x = 2,530,392.85
  5. Step 5: Solve for x
    x = 2,530,392.85/1,841.93
  6. Step 6: Final answer
    x = 1,373.78

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1.5x scale

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.