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Finding the Fourth Proportional to 4,374.80, 6,560.32 and 1,600.56

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Solution

The fourth proportional to 4,374.80, 6,560.32 and 1,600.56 is: 2,400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,374.80 : 6,560.32 = 1,600.56 : x
  2. Step 2: Convert to fraction form
    4,374.80/6,560.32 = 1,600.56/x
  3. Step 3: Cross multiply
    4,374.80x = 6,560.32 × 1,600.56
  4. Step 4: Simplify right side
    4,374.80x = 10,500,185.78
  5. Step 5: Solve for x
    x = 10,500,185.78/4,374.80
  6. Step 6: Final answer
    x = 2,400.15

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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.