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Finding the Fourth Proportional to 12,616.14, 17,391.60 and 8,078.16

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Solution

The fourth proportional to 12,616.14, 17,391.60 and 8,078.16 is: 11,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.14 : 17,391.60 = 8,078.16 : x
  2. Step 2: Convert to fraction form
    12,616.14/17,391.60 = 8,078.16/x
  3. Step 3: Cross multiply
    12,616.14x = 17,391.60 × 8,078.16
  4. Step 4: Simplify right side
    12,616.14x = 140,492,127.46
  5. Step 5: Solve for x
    x = 140,492,127.46/12,616.14
  6. Step 6: Final answer
    x = 11,135.90

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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.