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Finding the Fourth Proportional to 12,000.67, 16,561.14 and 6,694.90

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Solution

The fourth proportional to 12,000.67, 16,561.14 and 6,694.90 is: 9,239.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000.67 : 16,561.14 = 6,694.90 : x
  2. Step 2: Convert to fraction form
    12,000.67/16,561.14 = 6,694.90/x
  3. Step 3: Cross multiply
    12,000.67x = 16,561.14 × 6,694.90
  4. Step 4: Simplify right side
    12,000.67x = 110,875,176.19
  5. Step 5: Solve for x
    x = 110,875,176.19/12,000.67
  6. Step 6: Final answer
    x = 9,239.08

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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.