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Finding the Fourth Proportional to 13,068, 19,610.64 and 6,143.04

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Solution

The fourth proportional to 13,068, 19,610.64 and 6,143.04 is: 9,218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,068 : 19,610.64 = 6,143.04 : x
  2. Step 2: Convert to fraction form
    13,068/19,610.64 = 6,143.04/x
  3. Step 3: Cross multiply
    13,068x = 19,610.64 × 6,143.04
  4. Step 4: Simplify right side
    13,068x = 120,468,945.95
  5. Step 5: Solve for x
    x = 120,468,945.95/13,068
  6. Step 6: Final answer
    x = 9,218.62

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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.