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Finding the Fourth Proportional to 16,959.84, 23,405.78 and 9,406.89

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Solution

The fourth proportional to 16,959.84, 23,405.78 and 9,406.89 is: 12,982.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,959.84 : 23,405.78 = 9,406.89 : x
  2. Step 2: Convert to fraction form
    16,959.84/23,405.78 = 9,406.89/x
  3. Step 3: Cross multiply
    16,959.84x = 23,405.78 × 9,406.89
  4. Step 4: Simplify right side
    16,959.84x = 220,175,550.79
  5. Step 5: Solve for x
    x = 220,175,550.79/16,959.84
  6. Step 6: Final answer
    x = 12,982.17

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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.