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Finding the Fourth Proportional to 12,830.92, 19,248 and 4,062.70

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Solution

The fourth proportional to 12,830.92, 19,248 and 4,062.70 is: 6,094.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.92 : 19,248 = 4,062.70 : x
  2. Step 2: Convert to fraction form
    12,830.92/19,248 = 4,062.70/x
  3. Step 3: Cross multiply
    12,830.92x = 19,248 × 4,062.70
  4. Step 4: Simplify right side
    12,830.92x = 78,198,849.60
  5. Step 5: Solve for x
    x = 78,198,849.60/12,830.92
  6. Step 6: Final answer
    x = 6,094.56

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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.