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Finding the Fourth Proportional to 16,965.39, 23,411.81 and 9,411.68

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Solution

The fourth proportional to 16,965.39, 23,411.81 and 9,411.68 is: 12,987.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,965.39 : 23,411.81 = 9,411.68 : x
  2. Step 2: Convert to fraction form
    16,965.39/23,411.81 = 9,411.68/x
  3. Step 3: Cross multiply
    16,965.39x = 23,411.81 × 9,411.68
  4. Step 4: Simplify right side
    16,965.39x = 220,344,475.41
  5. Step 5: Solve for x
    x = 220,344,475.41/16,965.39
  6. Step 6: Final answer
    x = 12,987.88

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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.