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Finding the Fourth Proportional to 10,478, 15,717 and 3,182

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Solution

The fourth proportional to 10,478, 15,717 and 3,182 is: 4,773

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478 : 15,717 = 3,182 : x
  2. Step 2: Convert to fraction form
    10,478/15,717 = 3,182/x
  3. Step 3: Cross multiply
    10,478x = 15,717 × 3,182
  4. Step 4: Simplify right side
    10,478x = 50,011,494
  5. Step 5: Solve for x
    x = 50,011,494/10,478
  6. Step 6: Final answer
    x = 4,773

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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.