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Finding the Fourth Proportional to 7,652.70, 11,491.20 and 5,198.40

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Solution

The fourth proportional to 7,652.70, 11,491.20 and 5,198.40 is: 7,805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.70 : 11,491.20 = 5,198.40 : x
  2. Step 2: Convert to fraction form
    7,652.70/11,491.20 = 5,198.40/x
  3. Step 3: Cross multiply
    7,652.70x = 11,491.20 × 5,198.40
  4. Step 4: Simplify right side
    7,652.70x = 59,735,854.08
  5. Step 5: Solve for x
    x = 59,735,854.08/7,652.70
  6. Step 6: Final answer
    x = 7,805.85

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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.