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Finding the Fourth Proportional to 20,709.87, 31,061.56 and 6,858.87

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Solution

The fourth proportional to 20,709.87, 31,061.56 and 6,858.87 is: 10,287.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,709.87 : 31,061.56 = 6,858.87 : x
  2. Step 2: Convert to fraction form
    20,709.87/31,061.56 = 6,858.87/x
  3. Step 3: Cross multiply
    20,709.87x = 31,061.56 × 6,858.87
  4. Step 4: Simplify right side
    20,709.87x = 213,047,202.04
  5. Step 5: Solve for x
    x = 213,047,202.04/20,709.87
  6. Step 6: Final answer
    x = 10,287.23

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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.