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Finding the Fourth Proportional to 13,251.73, 18,303.42 and 9,661

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Solution

The fourth proportional to 13,251.73, 18,303.42 and 9,661 is: 13,343.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,251.73 : 18,303.42 = 9,661 : x
  2. Step 2: Convert to fraction form
    13,251.73/18,303.42 = 9,661/x
  3. Step 3: Cross multiply
    13,251.73x = 18,303.42 × 9,661
  4. Step 4: Simplify right side
    13,251.73x = 176,829,340.62
  5. Step 5: Solve for x
    x = 176,829,340.62/13,251.73
  6. Step 6: Final answer
    x = 13,343.87

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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.