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Finding the Fourth Proportional to 6,661.41, 9,991.40 and 3,538.10

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Solution

The fourth proportional to 6,661.41, 9,991.40 and 3,538.10 is: 5,306.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.41 : 9,991.40 = 3,538.10 : x
  2. Step 2: Convert to fraction form
    6,661.41/9,991.40 = 3,538.10/x
  3. Step 3: Cross multiply
    6,661.41x = 9,991.40 × 3,538.10
  4. Step 4: Simplify right side
    6,661.41x = 35,350,543.33
  5. Step 5: Solve for x
    x = 35,350,543.33/6,661.41
  6. Step 6: Final answer
    x = 5,306.77

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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.