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Finding the Fourth Proportional to 12,478.38, 18,702 and 6,240.18

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Solution

The fourth proportional to 12,478.38, 18,702 and 6,240.18 is: 9,352.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.38 : 18,702 = 6,240.18 : x
  2. Step 2: Convert to fraction form
    12,478.38/18,702 = 6,240.18/x
  3. Step 3: Cross multiply
    12,478.38x = 18,702 × 6,240.18
  4. Step 4: Simplify right side
    12,478.38x = 116,703,846.36
  5. Step 5: Solve for x
    x = 116,703,846.36/12,478.38
  6. Step 6: Final answer
    x = 9,352.48

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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.