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Finding the Fourth Proportional to 13,686.98, 20,478.46 and 8,351.61

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Solution

The fourth proportional to 13,686.98, 20,478.46 and 8,351.61 is: 12,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.98 : 20,478.46 = 8,351.61 : x
  2. Step 2: Convert to fraction form
    13,686.98/20,478.46 = 8,351.61/x
  3. Step 3: Cross multiply
    13,686.98x = 20,478.46 × 8,351.61
  4. Step 4: Simplify right side
    13,686.98x = 171,028,111.32
  5. Step 5: Solve for x
    x = 171,028,111.32/13,686.98
  6. Step 6: Final answer
    x = 12,495.68

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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.