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Finding the Fourth Proportional to 10,956, 15,119.28 and 6,767.76

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Solution

The fourth proportional to 10,956, 15,119.28 and 6,767.76 is: 9,339.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956 : 15,119.28 = 6,767.76 : x
  2. Step 2: Convert to fraction form
    10,956/15,119.28 = 6,767.76/x
  3. Step 3: Cross multiply
    10,956x = 15,119.28 × 6,767.76
  4. Step 4: Simplify right side
    10,956x = 102,323,658.41
  5. Step 5: Solve for x
    x = 102,323,658.41/10,956
  6. Step 6: Final answer
    x = 9,339.51

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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.