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Finding the Fourth Proportional to 19,907.82, 29,872.20 and 8,822.16

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Solution

The fourth proportional to 19,907.82, 29,872.20 and 8,822.16 is: 13,237.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,907.82 : 29,872.20 = 8,822.16 : x
  2. Step 2: Convert to fraction form
    19,907.82/29,872.20 = 8,822.16/x
  3. Step 3: Cross multiply
    19,907.82x = 29,872.20 × 8,822.16
  4. Step 4: Simplify right side
    19,907.82x = 263,537,327.95
  5. Step 5: Solve for x
    x = 263,537,327.95/19,907.82
  6. Step 6: Final answer
    x = 13,237.88

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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.