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Finding the Fourth Proportional to 9,310.68, 12,848.78 and 5,119.20

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Solution

The fourth proportional to 9,310.68, 12,848.78 and 5,119.20 is: 7,064.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.68 : 12,848.78 = 5,119.20 : x
  2. Step 2: Convert to fraction form
    9,310.68/12,848.78 = 5,119.20/x
  3. Step 3: Cross multiply
    9,310.68x = 12,848.78 × 5,119.20
  4. Step 4: Simplify right side
    9,310.68x = 65,775,474.58
  5. Step 5: Solve for x
    x = 65,775,474.58/9,310.68
  6. Step 6: Final answer
    x = 7,064.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.