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Finding the Fourth Proportional to 20,872.40, 31,300.82 and 8,388.20

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Solution

The fourth proportional to 20,872.40, 31,300.82 and 8,388.20 is: 12,579.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872.40 : 31,300.82 = 8,388.20 : x
  2. Step 2: Convert to fraction form
    20,872.40/31,300.82 = 8,388.20/x
  3. Step 3: Cross multiply
    20,872.40x = 31,300.82 × 8,388.20
  4. Step 4: Simplify right side
    20,872.40x = 262,557,538.32
  5. Step 5: Solve for x
    x = 262,557,538.32/20,872.40
  6. Step 6: Final answer
    x = 12,579.17

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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.