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Finding the Fourth Proportional to 10,113.80, 15,170.74 and 3,093.80

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Solution

The fourth proportional to 10,113.80, 15,170.74 and 3,093.80 is: 4,640.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113.80 : 15,170.74 = 3,093.80 : x
  2. Step 2: Convert to fraction form
    10,113.80/15,170.74 = 3,093.80/x
  3. Step 3: Cross multiply
    10,113.80x = 15,170.74 × 3,093.80
  4. Step 4: Simplify right side
    10,113.80x = 46,935,151.82
  5. Step 5: Solve for x
    x = 46,935,151.82/10,113.80
  6. Step 6: Final answer
    x = 4,640.71

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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.