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Finding the Fourth Proportional to 5,129.57, 7,074.78 and 3,713.47

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Solution

The fourth proportional to 5,129.57, 7,074.78 and 3,713.47 is: 5,121.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.57 : 7,074.78 = 3,713.47 : x
  2. Step 2: Convert to fraction form
    5,129.57/7,074.78 = 3,713.47/x
  3. Step 3: Cross multiply
    5,129.57x = 7,074.78 × 3,713.47
  4. Step 4: Simplify right side
    5,129.57x = 26,271,947.91
  5. Step 5: Solve for x
    x = 26,271,947.91/5,129.57
  6. Step 6: Final answer
    x = 5,121.67

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1.5x scale

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.