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Finding the Fourth Proportional to 16,871.62, 23,283.02 and 9,318.14

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Solution

The fourth proportional to 16,871.62, 23,283.02 and 9,318.14 is: 12,859.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,871.62 : 23,283.02 = 9,318.14 : x
  2. Step 2: Convert to fraction form
    16,871.62/23,283.02 = 9,318.14/x
  3. Step 3: Cross multiply
    16,871.62x = 23,283.02 × 9,318.14
  4. Step 4: Simplify right side
    16,871.62x = 216,954,451.60
  5. Step 5: Solve for x
    x = 216,954,451.60/16,871.62
  6. Step 6: Final answer
    x = 12,859.13

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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.