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Finding the Fourth Proportional to 12,871, 19,306.72 and 5,079.76

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Solution

The fourth proportional to 12,871, 19,306.72 and 5,079.76 is: 7,619.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871 : 19,306.72 = 5,079.76 : x
  2. Step 2: Convert to fraction form
    12,871/19,306.72 = 5,079.76/x
  3. Step 3: Cross multiply
    12,871x = 19,306.72 × 5,079.76
  4. Step 4: Simplify right side
    12,871x = 98,073,503.99
  5. Step 5: Solve for x
    x = 98,073,503.99/12,871
  6. Step 6: Final answer
    x = 7,619.73

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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.