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Finding the Fourth Proportional to 5,649.84, 8,454.96 and 3,886.56

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Solution

The fourth proportional to 5,649.84, 8,454.96 and 3,886.56 is: 5,816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.84 : 8,454.96 = 3,886.56 : x
  2. Step 2: Convert to fraction form
    5,649.84/8,454.96 = 3,886.56/x
  3. Step 3: Cross multiply
    5,649.84x = 8,454.96 × 3,886.56
  4. Step 4: Simplify right side
    5,649.84x = 32,860,709.34
  5. Step 5: Solve for x
    x = 32,860,709.34/5,649.84
  6. Step 6: Final answer
    x = 5,816.22

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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.