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Finding the Fourth Proportional to 6,157.80, 8,487.94 and 5,649.32

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Solution

The fourth proportional to 6,157.80, 8,487.94 and 5,649.32 is: 7,787.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.80 : 8,487.94 = 5,649.32 : x
  2. Step 2: Convert to fraction form
    6,157.80/8,487.94 = 5,649.32/x
  3. Step 3: Cross multiply
    6,157.80x = 8,487.94 × 5,649.32
  4. Step 4: Simplify right side
    6,157.80x = 47,951,089.20
  5. Step 5: Solve for x
    x = 47,951,089.20/6,157.80
  6. Step 6: Final answer
    x = 7,787.05

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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.