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Finding the Fourth Proportional to 10,930.38, 15,071.45 and 8,984.49

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Solution

The fourth proportional to 10,930.38, 15,071.45 and 8,984.49 is: 12,388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.38 : 15,071.45 = 8,984.49 : x
  2. Step 2: Convert to fraction form
    10,930.38/15,071.45 = 8,984.49/x
  3. Step 3: Cross multiply
    10,930.38x = 15,071.45 × 8,984.49
  4. Step 4: Simplify right side
    10,930.38x = 135,409,246.89
  5. Step 5: Solve for x
    x = 135,409,246.89/10,930.38
  6. Step 6: Final answer
    x = 12,388.34

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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.