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Finding the Fourth Proportional to 12,770.76, 19,139.92 and 5,743.28

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Solution

The fourth proportional to 12,770.76, 19,139.92 and 5,743.28 is: 8,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.76 : 19,139.92 = 5,743.28 : x
  2. Step 2: Convert to fraction form
    12,770.76/19,139.92 = 5,743.28/x
  3. Step 3: Cross multiply
    12,770.76x = 19,139.92 × 5,743.28
  4. Step 4: Simplify right side
    12,770.76x = 109,925,919.74
  5. Step 5: Solve for x
    x = 109,925,919.74/12,770.76
  6. Step 6: Final answer
    x = 8,607.63

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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.