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Finding the Fourth Proportional to 8,693.14, 13,007.19 and 5,170.30

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Solution

The fourth proportional to 8,693.14, 13,007.19 and 5,170.30 is: 7,736.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,693.14 : 13,007.19 = 5,170.30 : x
  2. Step 2: Convert to fraction form
    8,693.14/13,007.19 = 5,170.30/x
  3. Step 3: Cross multiply
    8,693.14x = 13,007.19 × 5,170.30
  4. Step 4: Simplify right side
    8,693.14x = 67,251,074.46
  5. Step 5: Solve for x
    x = 67,251,074.46/8,693.14
  6. Step 6: Final answer
    x = 7,736.11

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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.