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Finding the Fourth Proportional to 7,154.31, 9,872.95 and 4,359.81

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Solution

The fourth proportional to 7,154.31, 9,872.95 and 4,359.81 is: 6,016.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.31 : 9,872.95 = 4,359.81 : x
  2. Step 2: Convert to fraction form
    7,154.31/9,872.95 = 4,359.81/x
  3. Step 3: Cross multiply
    7,154.31x = 9,872.95 × 4,359.81
  4. Step 4: Simplify right side
    7,154.31x = 43,044,186.14
  5. Step 5: Solve for x
    x = 43,044,186.14/7,154.31
  6. Step 6: Final answer
    x = 6,016.54

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Why These Related Problems?

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