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Finding the Fourth Proportional to 21,202.29, 31,799.52 and 8,051.49

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Solution

The fourth proportional to 21,202.29, 31,799.52 and 8,051.49 is: 12,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,202.29 : 31,799.52 = 8,051.49 : x
  2. Step 2: Convert to fraction form
    21,202.29/31,799.52 = 8,051.49/x
  3. Step 3: Cross multiply
    21,202.29x = 31,799.52 × 8,051.49
  4. Step 4: Simplify right side
    21,202.29x = 256,033,517.28
  5. Step 5: Solve for x
    x = 256,033,517.28/21,202.29
  6. Step 6: Final answer
    x = 12,075.75

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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.