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Finding the Fourth Proportional to 5,245.16, 7,868.20 and 1,349.56

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Solution

The fourth proportional to 5,245.16, 7,868.20 and 1,349.56 is: 2,024.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.16 : 7,868.20 = 1,349.56 : x
  2. Step 2: Convert to fraction form
    5,245.16/7,868.20 = 1,349.56/x
  3. Step 3: Cross multiply
    5,245.16x = 7,868.20 × 1,349.56
  4. Step 4: Simplify right side
    5,245.16x = 10,618,607.99
  5. Step 5: Solve for x
    x = 10,618,607.99/5,245.16
  6. Step 6: Final answer
    x = 2,024.46

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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.