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Finding the Fourth Proportional to 13,874.29, 19,147.77 and 7,907.88

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Solution

The fourth proportional to 13,874.29, 19,147.77 and 7,907.88 is: 10,913.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.29 : 19,147.77 = 7,907.88 : x
  2. Step 2: Convert to fraction form
    13,874.29/19,147.77 = 7,907.88/x
  3. Step 3: Cross multiply
    13,874.29x = 19,147.77 × 7,907.88
  4. Step 4: Simplify right side
    13,874.29x = 151,418,267.43
  5. Step 5: Solve for x
    x = 151,418,267.43/13,874.29
  6. Step 6: Final answer
    x = 10,913.59

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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.