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Finding the Fourth Proportional to 12,526.32, 18,798 and 6,687.12

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Solution

The fourth proportional to 12,526.32, 18,798 and 6,687.12 is: 10,035.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,526.32 : 18,798 = 6,687.12 : x
  2. Step 2: Convert to fraction form
    12,526.32/18,798 = 6,687.12/x
  3. Step 3: Cross multiply
    12,526.32x = 18,798 × 6,687.12
  4. Step 4: Simplify right side
    12,526.32x = 125,704,481.76
  5. Step 5: Solve for x
    x = 125,704,481.76/12,526.32
  6. Step 6: Final answer
    x = 10,035.23

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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.