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Finding the Fourth Proportional to 6,648.80, 9,945.72 and 5,465.44

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Solution

The fourth proportional to 6,648.80, 9,945.72 and 5,465.44 is: 8,175.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.80 : 9,945.72 = 5,465.44 : x
  2. Step 2: Convert to fraction form
    6,648.80/9,945.72 = 5,465.44/x
  3. Step 3: Cross multiply
    6,648.80x = 9,945.72 × 5,465.44
  4. Step 4: Simplify right side
    6,648.80x = 54,357,735.92
  5. Step 5: Solve for x
    x = 54,357,735.92/6,648.80
  6. Step 6: Final answer
    x = 8,175.57

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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.