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Finding the Fourth Proportional to 7,139.70, 10,709.55 and 3,859.20

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Solution

The fourth proportional to 7,139.70, 10,709.55 and 3,859.20 is: 5,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.70 : 10,709.55 = 3,859.20 : x
  2. Step 2: Convert to fraction form
    7,139.70/10,709.55 = 3,859.20/x
  3. Step 3: Cross multiply
    7,139.70x = 10,709.55 × 3,859.20
  4. Step 4: Simplify right side
    7,139.70x = 41,330,295.36
  5. Step 5: Solve for x
    x = 41,330,295.36/7,139.70
  6. Step 6: Final answer
    x = 5,788.80

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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.