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Finding the Fourth Proportional to 5,649.90, 8,478.90 and 3,182.10

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Solution

The fourth proportional to 5,649.90, 8,478.90 and 3,182.10 is: 4,775.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.90 : 8,478.90 = 3,182.10 : x
  2. Step 2: Convert to fraction form
    5,649.90/8,478.90 = 3,182.10/x
  3. Step 3: Cross multiply
    5,649.90x = 8,478.90 × 3,182.10
  4. Step 4: Simplify right side
    5,649.90x = 26,980,707.69
  5. Step 5: Solve for x
    x = 26,980,707.69/5,649.90
  6. Step 6: Final answer
    x = 4,775.43

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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.