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Finding the Fourth Proportional to 12,480.67, 18,713.71 and 8,538

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Solution

The fourth proportional to 12,480.67, 18,713.71 and 8,538 is: 12,802.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,480.67 : 18,713.71 = 8,538 : x
  2. Step 2: Convert to fraction form
    12,480.67/18,713.71 = 8,538/x
  3. Step 3: Cross multiply
    12,480.67x = 18,713.71 × 8,538
  4. Step 4: Simplify right side
    12,480.67x = 159,777,655.98
  5. Step 5: Solve for x
    x = 159,777,655.98/12,480.67
  6. Step 6: Final answer
    x = 12,802.01

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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.