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Finding the Fourth Proportional to 20,878.19, 31,322.14 and 7,027.19

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Solution

The fourth proportional to 20,878.19, 31,322.14 and 7,027.19 is: 10,542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878.19 : 31,322.14 = 7,027.19 : x
  2. Step 2: Convert to fraction form
    20,878.19/31,322.14 = 7,027.19/x
  3. Step 3: Cross multiply
    20,878.19x = 31,322.14 × 7,027.19
  4. Step 4: Simplify right side
    20,878.19x = 220,106,628.99
  5. Step 5: Solve for x
    x = 220,106,628.99/20,878.19
  6. Step 6: Final answer
    x = 10,542.42

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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.