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Finding the Fourth Proportional to 19,344.96, 26,684.64 and 11,880

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Solution

The fourth proportional to 19,344.96, 26,684.64 and 11,880 is: 16,387.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,344.96 : 26,684.64 = 11,880 : x
  2. Step 2: Convert to fraction form
    19,344.96/26,684.64 = 11,880/x
  3. Step 3: Cross multiply
    19,344.96x = 26,684.64 × 11,880
  4. Step 4: Simplify right side
    19,344.96x = 317,013,523.20
  5. Step 5: Solve for x
    x = 317,013,523.20/19,344.96
  6. Step 6: Final answer
    x = 16,387.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.