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Finding the Fourth Proportional to 5,245.88, 7,870.20 and 2,614.16

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Solution

The fourth proportional to 5,245.88, 7,870.20 and 2,614.16 is: 3,921.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.88 : 7,870.20 = 2,614.16 : x
  2. Step 2: Convert to fraction form
    5,245.88/7,870.20 = 2,614.16/x
  3. Step 3: Cross multiply
    5,245.88x = 7,870.20 × 2,614.16
  4. Step 4: Simplify right side
    5,245.88x = 20,573,962.03
  5. Step 5: Solve for x
    x = 20,573,962.03/5,245.88
  6. Step 6: Final answer
    x = 3,921.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.