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Finding the Fourth Proportional to 8,049.78, 12,049.97 and 5,130.14

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Solution

The fourth proportional to 8,049.78, 12,049.97 and 5,130.14 is: 7,679.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.78 : 12,049.97 = 5,130.14 : x
  2. Step 2: Convert to fraction form
    8,049.78/12,049.97 = 5,130.14/x
  3. Step 3: Cross multiply
    8,049.78x = 12,049.97 × 5,130.14
  4. Step 4: Simplify right side
    8,049.78x = 61,817,947.20
  5. Step 5: Solve for x
    x = 61,817,947.20/8,049.78
  6. Step 6: Final answer
    x = 7,679.46

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1.5x scale

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.