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Finding the Fourth Proportional to 6,144.64, 8,479.44 and 5,649.28

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Solution

The fourth proportional to 6,144.64, 8,479.44 and 5,649.28 is: 7,795.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.64 : 8,479.44 = 5,649.28 : x
  2. Step 2: Convert to fraction form
    6,144.64/8,479.44 = 5,649.28/x
  3. Step 3: Cross multiply
    6,144.64x = 8,479.44 × 5,649.28
  4. Step 4: Simplify right side
    6,144.64x = 47,902,730.80
  5. Step 5: Solve for x
    x = 47,902,730.80/6,144.64
  6. Step 6: Final answer
    x = 7,795.86

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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.