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Finding the Fourth Proportional to 6,444.80, 9,600.64 and 6,291.20

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Solution

The fourth proportional to 6,444.80, 9,600.64 and 6,291.20 is: 9,371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.80 : 9,600.64 = 6,291.20 : x
  2. Step 2: Convert to fraction form
    6,444.80/9,600.64 = 6,291.20/x
  3. Step 3: Cross multiply
    6,444.80x = 9,600.64 × 6,291.20
  4. Step 4: Simplify right side
    6,444.80x = 60,399,546.37
  5. Step 5: Solve for x
    x = 60,399,546.37/6,444.80
  6. Step 6: Final answer
    x = 9,371.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.