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Finding the Fourth Proportional to 13,182.75, 18,192.20 and 8,991

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Solution

The fourth proportional to 13,182.75, 18,192.20 and 8,991 is: 12,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.75 : 18,192.20 = 8,991 : x
  2. Step 2: Convert to fraction form
    13,182.75/18,192.20 = 8,991/x
  3. Step 3: Cross multiply
    13,182.75x = 18,192.20 × 8,991
  4. Step 4: Simplify right side
    13,182.75x = 163,566,025.25
  5. Step 5: Solve for x
    x = 163,566,025.25/13,182.75
  6. Step 6: Final answer
    x = 12,407.58

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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.