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Finding the Fourth Proportional to 13,415.78, 18,508.02 and 8,107.52

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Solution

The fourth proportional to 13,415.78, 18,508.02 and 8,107.52 is: 11,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.78 : 18,508.02 = 8,107.52 : x
  2. Step 2: Convert to fraction form
    13,415.78/18,508.02 = 8,107.52/x
  3. Step 3: Cross multiply
    13,415.78x = 18,508.02 × 8,107.52
  4. Step 4: Simplify right side
    13,415.78x = 150,054,142.31
  5. Step 5: Solve for x
    x = 150,054,142.31/13,415.78
  6. Step 6: Final answer
    x = 11,184.90

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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.