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Finding the Fourth Proportional to 13,846.77, 20,737.05 and 7,985.61

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Solution

The fourth proportional to 13,846.77, 20,737.05 and 7,985.61 is: 11,959.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.77 : 20,737.05 = 7,985.61 : x
  2. Step 2: Convert to fraction form
    13,846.77/20,737.05 = 7,985.61/x
  3. Step 3: Cross multiply
    13,846.77x = 20,737.05 × 7,985.61
  4. Step 4: Simplify right side
    13,846.77x = 165,597,963.90
  5. Step 5: Solve for x
    x = 165,597,963.90/13,846.77
  6. Step 6: Final answer
    x = 11,959.32

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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.