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Finding the Fourth Proportional to 6,443.48, 9,709.12 and 5,299.12

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Solution

The fourth proportional to 6,443.48, 9,709.12 and 5,299.12 is: 7,984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.48 : 9,709.12 = 5,299.12 : x
  2. Step 2: Convert to fraction form
    6,443.48/9,709.12 = 5,299.12/x
  3. Step 3: Cross multiply
    6,443.48x = 9,709.12 × 5,299.12
  4. Step 4: Simplify right side
    6,443.48x = 51,449,780.93
  5. Step 5: Solve for x
    x = 51,449,780.93/6,443.48
  6. Step 6: Final answer
    x = 7,984.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.