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Finding the Fourth Proportional to 8,780.48, 13,156 and 5,310.56

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Solution

The fourth proportional to 8,780.48, 13,156 and 5,310.56 is: 7,956.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,780.48 : 13,156 = 5,310.56 : x
  2. Step 2: Convert to fraction form
    8,780.48/13,156 = 5,310.56/x
  3. Step 3: Cross multiply
    8,780.48x = 13,156 × 5,310.56
  4. Step 4: Simplify right side
    8,780.48x = 69,865,727.36
  5. Step 5: Solve for x
    x = 69,865,727.36/8,780.48
  6. Step 6: Final answer
    x = 7,956.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.