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Finding the Fourth Proportional to 10,612, 15,923.84 and 5,140

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Solution

The fourth proportional to 10,612, 15,923.84 and 5,140 is: 7,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612 : 15,923.84 = 5,140 : x
  2. Step 2: Convert to fraction form
    10,612/15,923.84 = 5,140/x
  3. Step 3: Cross multiply
    10,612x = 15,923.84 × 5,140
  4. Step 4: Simplify right side
    10,612x = 81,848,537.60
  5. Step 5: Solve for x
    x = 81,848,537.60/10,612
  6. Step 6: Final answer
    x = 7,712.83

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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.