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Finding the Fourth Proportional to 7,153.74, 9,872.10 and 4,359.24

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Solution

The fourth proportional to 7,153.74, 9,872.10 and 4,359.24 is: 6,015.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.74 : 9,872.10 = 4,359.24 : x
  2. Step 2: Convert to fraction form
    7,153.74/9,872.10 = 4,359.24/x
  3. Step 3: Cross multiply
    7,153.74x = 9,872.10 × 4,359.24
  4. Step 4: Simplify right side
    7,153.74x = 43,034,853.20
  5. Step 5: Solve for x
    x = 43,034,853.20/7,153.74
  6. Step 6: Final answer
    x = 6,015.71

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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.