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Finding the Fourth Proportional to 3,098.81, 4,275.72 and 1,772.96

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Solution

The fourth proportional to 3,098.81, 4,275.72 and 1,772.96 is: 2,446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.81 : 4,275.72 = 1,772.96 : x
  2. Step 2: Convert to fraction form
    3,098.81/4,275.72 = 1,772.96/x
  3. Step 3: Cross multiply
    3,098.81x = 4,275.72 × 1,772.96
  4. Step 4: Simplify right side
    3,098.81x = 7,580,680.53
  5. Step 5: Solve for x
    x = 7,580,680.53/3,098.81
  6. Step 6: Final answer
    x = 2,446.32

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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.