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Finding the Fourth Proportional to 12,415.78, 17,122.16 and 9,578.68

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Solution

The fourth proportional to 12,415.78, 17,122.16 and 9,578.68 is: 13,209.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.78 : 17,122.16 = 9,578.68 : x
  2. Step 2: Convert to fraction form
    12,415.78/17,122.16 = 9,578.68/x
  3. Step 3: Cross multiply
    12,415.78x = 17,122.16 × 9,578.68
  4. Step 4: Simplify right side
    12,415.78x = 164,007,605.94
  5. Step 5: Solve for x
    x = 164,007,605.94/12,415.78
  6. Step 6: Final answer
    x = 13,209.61

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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.