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Finding the Fourth Proportional to 12,907.12, 17,809.11 and 8,437.42

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Solution

The fourth proportional to 12,907.12, 17,809.11 and 8,437.42 is: 11,641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.12 : 17,809.11 = 8,437.42 : x
  2. Step 2: Convert to fraction form
    12,907.12/17,809.11 = 8,437.42/x
  3. Step 3: Cross multiply
    12,907.12x = 17,809.11 × 8,437.42
  4. Step 4: Simplify right side
    12,907.12x = 150,262,940.90
  5. Step 5: Solve for x
    x = 150,262,940.90/12,907.12
  6. Step 6: Final answer
    x = 11,641.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.