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Finding the Fourth Proportional to 13,864, 20,783.52 and 5,097.04

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Solution

The fourth proportional to 13,864, 20,783.52 and 5,097.04 is: 7,640.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864 : 20,783.52 = 5,097.04 : x
  2. Step 2: Convert to fraction form
    13,864/20,783.52 = 5,097.04/x
  3. Step 3: Cross multiply
    13,864x = 20,783.52 × 5,097.04
  4. Step 4: Simplify right side
    13,864x = 105,934,432.78
  5. Step 5: Solve for x
    x = 105,934,432.78/13,864
  6. Step 6: Final answer
    x = 7,640.97

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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.