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Finding the Fourth Proportional to 5,287.36, 7,296.16 and 3,049.28

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Solution

The fourth proportional to 5,287.36, 7,296.16 and 3,049.28 is: 4,207.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.36 : 7,296.16 = 3,049.28 : x
  2. Step 2: Convert to fraction form
    5,287.36/7,296.16 = 3,049.28/x
  3. Step 3: Cross multiply
    5,287.36x = 7,296.16 × 3,049.28
  4. Step 4: Simplify right side
    5,287.36x = 22,248,034.76
  5. Step 5: Solve for x
    x = 22,248,034.76/5,287.36
  6. Step 6: Final answer
    x = 4,207.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.