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Finding the Fourth Proportional to 6,352.40, 9,541.80 and 5,380.40

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Solution

The fourth proportional to 6,352.40, 9,541.80 and 5,380.40 is: 8,081.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.40 : 9,541.80 = 5,380.40 : x
  2. Step 2: Convert to fraction form
    6,352.40/9,541.80 = 5,380.40/x
  3. Step 3: Cross multiply
    6,352.40x = 9,541.80 × 5,380.40
  4. Step 4: Simplify right side
    6,352.40x = 51,338,700.72
  5. Step 5: Solve for x
    x = 51,338,700.72/6,352.40
  6. Step 6: Final answer
    x = 8,081.78

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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.