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Finding the Fourth Proportional to 12,378.16, 18,568 and 3,613.68

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Solution

The fourth proportional to 12,378.16, 18,568 and 3,613.68 is: 5,420.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.16 : 18,568 = 3,613.68 : x
  2. Step 2: Convert to fraction form
    12,378.16/18,568 = 3,613.68/x
  3. Step 3: Cross multiply
    12,378.16x = 18,568 × 3,613.68
  4. Step 4: Simplify right side
    12,378.16x = 67,098,810.24
  5. Step 5: Solve for x
    x = 67,098,810.24/12,378.16
  6. Step 6: Final answer
    x = 5,420.74

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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.