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Finding the Fourth Proportional to 6,864, 9,472.32 and 5,002.56

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Solution

The fourth proportional to 6,864, 9,472.32 and 5,002.56 is: 6,903.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864 : 9,472.32 = 5,002.56 : x
  2. Step 2: Convert to fraction form
    6,864/9,472.32 = 5,002.56/x
  3. Step 3: Cross multiply
    6,864x = 9,472.32 × 5,002.56
  4. Step 4: Simplify right side
    6,864x = 47,385,849.14
  5. Step 5: Solve for x
    x = 47,385,849.14/6,864
  6. Step 6: Final answer
    x = 6,903.53

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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.