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Finding the Fourth Proportional to 7,872, 10,865.28 and 4,561.92

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Solution

The fourth proportional to 7,872, 10,865.28 and 4,561.92 is: 6,296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872 : 10,865.28 = 4,561.92 : x
  2. Step 2: Convert to fraction form
    7,872/10,865.28 = 4,561.92/x
  3. Step 3: Cross multiply
    7,872x = 10,865.28 × 4,561.92
  4. Step 4: Simplify right side
    7,872x = 49,566,538.14
  5. Step 5: Solve for x
    x = 49,566,538.14/7,872
  6. Step 6: Final answer
    x = 6,296.56

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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.