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Finding the Fourth Proportional to 9,131.80, 13,693.70 and 4,199.80

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Solution

The fourth proportional to 9,131.80, 13,693.70 and 4,199.80 is: 6,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.80 : 13,693.70 = 4,199.80 : x
  2. Step 2: Convert to fraction form
    9,131.80/13,693.70 = 4,199.80/x
  3. Step 3: Cross multiply
    9,131.80x = 13,693.70 × 4,199.80
  4. Step 4: Simplify right side
    9,131.80x = 57,510,801.26
  5. Step 5: Solve for x
    x = 57,510,801.26/9,131.80
  6. Step 6: Final answer
    x = 6,297.86

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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.