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Finding the Fourth Proportional to 12,652.71, 18,990.59 and 6,734.57

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Solution

The fourth proportional to 12,652.71, 18,990.59 and 6,734.57 is: 10,107.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.71 : 18,990.59 = 6,734.57 : x
  2. Step 2: Convert to fraction form
    12,652.71/18,990.59 = 6,734.57/x
  3. Step 3: Cross multiply
    12,652.71x = 18,990.59 × 6,734.57
  4. Step 4: Simplify right side
    12,652.71x = 127,893,382.48
  5. Step 5: Solve for x
    x = 127,893,382.48/12,652.71
  6. Step 6: Final answer
    x = 10,107.98

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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.