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Finding the Fourth Proportional to 12,773.79, 19,147.17 and 4,871.20

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Solution

The fourth proportional to 12,773.79, 19,147.17 and 4,871.20 is: 7,301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.79 : 19,147.17 = 4,871.20 : x
  2. Step 2: Convert to fraction form
    12,773.79/19,147.17 = 4,871.20/x
  3. Step 3: Cross multiply
    12,773.79x = 19,147.17 × 4,871.20
  4. Step 4: Simplify right side
    12,773.79x = 93,269,694.50
  5. Step 5: Solve for x
    x = 93,269,694.50/12,773.79
  6. Step 6: Final answer
    x = 7,301.65

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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.