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Finding the Fourth Proportional to 11,977.52, 17,969.16 and 4,186.16

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Solution

The fourth proportional to 11,977.52, 17,969.16 and 4,186.16 is: 6,280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.52 : 17,969.16 = 4,186.16 : x
  2. Step 2: Convert to fraction form
    11,977.52/17,969.16 = 4,186.16/x
  3. Step 3: Cross multiply
    11,977.52x = 17,969.16 × 4,186.16
  4. Step 4: Simplify right side
    11,977.52x = 75,221,778.83
  5. Step 5: Solve for x
    x = 75,221,778.83/11,977.52
  6. Step 6: Final answer
    x = 6,280.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.