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Finding the Fourth Proportional to 13,211.76, 18,232.02 and 7,243.47

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Solution

The fourth proportional to 13,211.76, 18,232.02 and 7,243.47 is: 9,995.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.76 : 18,232.02 = 7,243.47 : x
  2. Step 2: Convert to fraction form
    13,211.76/18,232.02 = 7,243.47/x
  3. Step 3: Cross multiply
    13,211.76x = 18,232.02 × 7,243.47
  4. Step 4: Simplify right side
    13,211.76x = 132,063,089.91
  5. Step 5: Solve for x
    x = 132,063,089.91/13,211.76
  6. Step 6: Final answer
    x = 9,995.87

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1.5x scale

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.