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Finding the Fourth Proportional to 5,159.32, 7,734.78 and 2,560.84

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Solution

The fourth proportional to 5,159.32, 7,734.78 and 2,560.84 is: 3,839.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.32 : 7,734.78 = 2,560.84 : x
  2. Step 2: Convert to fraction form
    5,159.32/7,734.78 = 2,560.84/x
  3. Step 3: Cross multiply
    5,159.32x = 7,734.78 × 2,560.84
  4. Step 4: Simplify right side
    5,159.32x = 19,807,534.02
  5. Step 5: Solve for x
    x = 19,807,534.02/5,159.32
  6. Step 6: Final answer
    x = 3,839.18

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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.