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Finding the Fourth Proportional to 8,198.53, 12,293.55 and 2,931.52

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Solution

The fourth proportional to 8,198.53, 12,293.55 and 2,931.52 is: 4,395.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.53 : 12,293.55 = 2,931.52 : x
  2. Step 2: Convert to fraction form
    8,198.53/12,293.55 = 2,931.52/x
  3. Step 3: Cross multiply
    8,198.53x = 12,293.55 × 2,931.52
  4. Step 4: Simplify right side
    8,198.53x = 36,038,787.70
  5. Step 5: Solve for x
    x = 36,038,787.70/8,198.53
  6. Step 6: Final answer
    x = 4,395.76

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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.