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Finding the Fourth Proportional to 4,157.88, 6,237.12 and 1,560.78

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Solution

The fourth proportional to 4,157.88, 6,237.12 and 1,560.78 is: 2,341.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.88 : 6,237.12 = 1,560.78 : x
  2. Step 2: Convert to fraction form
    4,157.88/6,237.12 = 1,560.78/x
  3. Step 3: Cross multiply
    4,157.88x = 6,237.12 × 1,560.78
  4. Step 4: Simplify right side
    4,157.88x = 9,734,772.15
  5. Step 5: Solve for x
    x = 9,734,772.15/4,157.88
  6. Step 6: Final answer
    x = 2,341.28

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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.