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Finding the Fourth Proportional to 11,655.65, 16,072.07 and 7,872.25

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Solution

The fourth proportional to 11,655.65, 16,072.07 and 7,872.25 is: 10,855.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.65 : 16,072.07 = 7,872.25 : x
  2. Step 2: Convert to fraction form
    11,655.65/16,072.07 = 7,872.25/x
  3. Step 3: Cross multiply
    11,655.65x = 16,072.07 × 7,872.25
  4. Step 4: Simplify right side
    11,655.65x = 126,523,332.97
  5. Step 5: Solve for x
    x = 126,523,332.97/11,655.65
  6. Step 6: Final answer
    x = 10,855.11

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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.