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Finding the Fourth Proportional to 13,359.47, 20,042.62 and 7,817.47

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Solution

The fourth proportional to 13,359.47, 20,042.62 and 7,817.47 is: 11,728.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,359.47 : 20,042.62 = 7,817.47 : x
  2. Step 2: Convert to fraction form
    13,359.47/20,042.62 = 7,817.47/x
  3. Step 3: Cross multiply
    13,359.47x = 20,042.62 × 7,817.47
  4. Step 4: Simplify right side
    13,359.47x = 156,682,580.57
  5. Step 5: Solve for x
    x = 156,682,580.57/13,359.47
  6. Step 6: Final answer
    x = 11,728.20

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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.