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Finding the Fourth Proportional to 12,415.78, 17,137.47 and 8,170.11

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Solution

The fourth proportional to 12,415.78, 17,137.47 and 8,170.11 is: 11,277.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.78 : 17,137.47 = 8,170.11 : x
  2. Step 2: Convert to fraction form
    12,415.78/17,137.47 = 8,170.11/x
  3. Step 3: Cross multiply
    12,415.78x = 17,137.47 × 8,170.11
  4. Step 4: Simplify right side
    12,415.78x = 140,015,015.02
  5. Step 5: Solve for x
    x = 140,015,015.02/12,415.78
  6. Step 6: Final answer
    x = 11,277.19

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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.