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Finding the Fourth Proportional to 13,854.65, 20,781.43 and 4,620.65

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Solution

The fourth proportional to 13,854.65, 20,781.43 and 4,620.65 is: 6,930.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.65 : 20,781.43 = 4,620.65 : x
  2. Step 2: Convert to fraction form
    13,854.65/20,781.43 = 4,620.65/x
  3. Step 3: Cross multiply
    13,854.65x = 20,781.43 × 4,620.65
  4. Step 4: Simplify right side
    13,854.65x = 96,023,599.07
  5. Step 5: Solve for x
    x = 96,023,599.07/13,854.65
  6. Step 6: Final answer
    x = 6,930.79

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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.