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Finding the Fourth Proportional to 8,443.76, 11,649.96 and 6,669.68

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Solution

The fourth proportional to 8,443.76, 11,649.96 and 6,669.68 is: 9,202.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.76 : 11,649.96 = 6,669.68 : x
  2. Step 2: Convert to fraction form
    8,443.76/11,649.96 = 6,669.68/x
  3. Step 3: Cross multiply
    8,443.76x = 11,649.96 × 6,669.68
  4. Step 4: Simplify right side
    8,443.76x = 77,701,505.21
  5. Step 5: Solve for x
    x = 77,701,505.21/8,443.76
  6. Step 6: Final answer
    x = 9,202.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.