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Finding the Fourth Proportional to 10,523.82, 15,786 and 4,979.76

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Solution

The fourth proportional to 10,523.82, 15,786 and 4,979.76 is: 7,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.82 : 15,786 = 4,979.76 : x
  2. Step 2: Convert to fraction form
    10,523.82/15,786 = 4,979.76/x
  3. Step 3: Cross multiply
    10,523.82x = 15,786 × 4,979.76
  4. Step 4: Simplify right side
    10,523.82x = 78,610,491.36
  5. Step 5: Solve for x
    x = 78,610,491.36/10,523.82
  6. Step 6: Final answer
    x = 7,469.77

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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.