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Finding the Fourth Proportional to 1,847.81, 2,772.12 and 616.11

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Solution

The fourth proportional to 1,847.81, 2,772.12 and 616.11 is: 924.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.81 : 2,772.12 = 616.11 : x
  2. Step 2: Convert to fraction form
    1,847.81/2,772.12 = 616.11/x
  3. Step 3: Cross multiply
    1,847.81x = 2,772.12 × 616.11
  4. Step 4: Simplify right side
    1,847.81x = 1,707,922.77
  5. Step 5: Solve for x
    x = 1,707,922.77/1,847.81
  6. Step 6: Final answer
    x = 924.29

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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.