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Finding the Fourth Proportional to 10,081.96, 15,122.94 and 3,157

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Solution

The fourth proportional to 10,081.96, 15,122.94 and 3,157 is: 4,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081.96 : 15,122.94 = 3,157 : x
  2. Step 2: Convert to fraction form
    10,081.96/15,122.94 = 3,157/x
  3. Step 3: Cross multiply
    10,081.96x = 15,122.94 × 3,157
  4. Step 4: Simplify right side
    10,081.96x = 47,743,121.58
  5. Step 5: Solve for x
    x = 47,743,121.58/10,081.96
  6. Step 6: Final answer
    x = 4,735.50

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1.5x scale

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.