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Finding the Fourth Proportional to 5,649.92, 8,478.78 and 1,952.17

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Solution

The fourth proportional to 5,649.92, 8,478.78 and 1,952.17 is: 2,929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.92 : 8,478.78 = 1,952.17 : x
  2. Step 2: Convert to fraction form
    5,649.92/8,478.78 = 1,952.17/x
  3. Step 3: Cross multiply
    5,649.92x = 8,478.78 × 1,952.17
  4. Step 4: Simplify right side
    5,649.92x = 16,551,991.44
  5. Step 5: Solve for x
    x = 16,551,991.44/5,649.92
  6. Step 6: Final answer
    x = 2,929.60

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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.