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Finding the Fourth Proportional to 3,868.56, 5,803.14 and 2,319.13

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Solution

The fourth proportional to 3,868.56, 5,803.14 and 2,319.13 is: 3,478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.56 : 5,803.14 = 2,319.13 : x
  2. Step 2: Convert to fraction form
    3,868.56/5,803.14 = 2,319.13/x
  3. Step 3: Cross multiply
    3,868.56x = 5,803.14 × 2,319.13
  4. Step 4: Simplify right side
    3,868.56x = 13,458,252.02
  5. Step 5: Solve for x
    x = 13,458,252.02/3,868.56
  6. Step 6: Final answer
    x = 3,478.88

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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.