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Finding the Fourth Proportional to 10,485.82, 15,680.12 and 8,119

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Solution

The fourth proportional to 10,485.82, 15,680.12 and 8,119 is: 12,140.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.82 : 15,680.12 = 8,119 : x
  2. Step 2: Convert to fraction form
    10,485.82/15,680.12 = 8,119/x
  3. Step 3: Cross multiply
    10,485.82x = 15,680.12 × 8,119
  4. Step 4: Simplify right side
    10,485.82x = 127,306,894.28
  5. Step 5: Solve for x
    x = 127,306,894.28/10,485.82
  6. Step 6: Final answer
    x = 12,140.86

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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.