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Finding the Fourth Proportional to 6,866.02, 9,475.10 and 3,722.20

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Solution

The fourth proportional to 6,866.02, 9,475.10 and 3,722.20 is: 5,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.02 : 9,475.10 = 3,722.20 : x
  2. Step 2: Convert to fraction form
    6,866.02/9,475.10 = 3,722.20/x
  3. Step 3: Cross multiply
    6,866.02x = 9,475.10 × 3,722.20
  4. Step 4: Simplify right side
    6,866.02x = 35,268,252.65
  5. Step 5: Solve for x
    x = 35,268,252.65/6,866.02
  6. Step 6: Final answer
    x = 5,136.64

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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.