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Finding the Fourth Proportional to 7,334.80, 10,115.46 and 5,760.16

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Solution

The fourth proportional to 7,334.80, 10,115.46 and 5,760.16 is: 7,943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,334.80 : 10,115.46 = 5,760.16 : x
  2. Step 2: Convert to fraction form
    7,334.80/10,115.46 = 5,760.16/x
  3. Step 3: Cross multiply
    7,334.80x = 10,115.46 × 5,760.16
  4. Step 4: Simplify right side
    7,334.80x = 58,266,668.07
  5. Step 5: Solve for x
    x = 58,266,668.07/7,334.80
  6. Step 6: Final answer
    x = 7,943.87

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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.