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Finding the Fourth Proportional to 8,509.87, 12,742.93 and 5,212.97

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Solution

The fourth proportional to 8,509.87, 12,742.93 and 5,212.97 is: 7,806.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.87 : 12,742.93 = 5,212.97 : x
  2. Step 2: Convert to fraction form
    8,509.87/12,742.93 = 5,212.97/x
  3. Step 3: Cross multiply
    8,509.87x = 12,742.93 × 5,212.97
  4. Step 4: Simplify right side
    8,509.87x = 66,428,454.60
  5. Step 5: Solve for x
    x = 66,428,454.60/8,509.87
  6. Step 6: Final answer
    x = 7,806.05

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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.