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Finding the Fourth Proportional to 12,087.66, 16,681.50 and 7,609.71

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Solution

The fourth proportional to 12,087.66, 16,681.50 and 7,609.71 is: 10,501.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,087.66 : 16,681.50 = 7,609.71 : x
  2. Step 2: Convert to fraction form
    12,087.66/16,681.50 = 7,609.71/x
  3. Step 3: Cross multiply
    12,087.66x = 16,681.50 × 7,609.71
  4. Step 4: Simplify right side
    12,087.66x = 126,941,377.37
  5. Step 5: Solve for x
    x = 126,941,377.37/12,087.66
  6. Step 6: Final answer
    x = 10,501.73

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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.