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Finding the Fourth Proportional to 13,916.80, 20,881.20 and 8,078.40

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Solution

The fourth proportional to 13,916.80, 20,881.20 and 8,078.40 is: 12,121.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,916.80 : 20,881.20 = 8,078.40 : x
  2. Step 2: Convert to fraction form
    13,916.80/20,881.20 = 8,078.40/x
  3. Step 3: Cross multiply
    13,916.80x = 20,881.20 × 8,078.40
  4. Step 4: Simplify right side
    13,916.80x = 168,686,686.08
  5. Step 5: Solve for x
    x = 168,686,686.08/13,916.80
  6. Step 6: Final answer
    x = 12,121.08

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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.