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Finding the Fourth Proportional to 11,907.69, 17,857.70 and 4,008.05

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Solution

The fourth proportional to 11,907.69, 17,857.70 and 4,008.05 is: 6,010.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.69 : 17,857.70 = 4,008.05 : x
  2. Step 2: Convert to fraction form
    11,907.69/17,857.70 = 4,008.05/x
  3. Step 3: Cross multiply
    11,907.69x = 17,857.70 × 4,008.05
  4. Step 4: Simplify right side
    11,907.69x = 71,574,554.49
  5. Step 5: Solve for x
    x = 71,574,554.49/11,907.69
  6. Step 6: Final answer
    x = 6,010.78

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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.