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Finding the Fourth Proportional to 12,102.84, 18,166.98 and 10,725

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Solution

The fourth proportional to 12,102.84, 18,166.98 and 10,725 is: 16,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.84 : 18,166.98 = 10,725 : x
  2. Step 2: Convert to fraction form
    12,102.84/18,166.98 = 10,725/x
  3. Step 3: Cross multiply
    12,102.84x = 18,166.98 × 10,725
  4. Step 4: Simplify right side
    12,102.84x = 194,840,860.50
  5. Step 5: Solve for x
    x = 194,840,860.50/12,102.84
  6. Step 6: Final answer
    x = 16,098.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.