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Finding the Fourth Proportional to 7,662.40, 11,475.48 and 3,767.92

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Solution

The fourth proportional to 7,662.40, 11,475.48 and 3,767.92 is: 5,642.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.40 : 11,475.48 = 3,767.92 : x
  2. Step 2: Convert to fraction form
    7,662.40/11,475.48 = 3,767.92/x
  3. Step 3: Cross multiply
    7,662.40x = 11,475.48 × 3,767.92
  4. Step 4: Simplify right side
    7,662.40x = 43,238,690.60
  5. Step 5: Solve for x
    x = 43,238,690.60/7,662.40
  6. Step 6: Final answer
    x = 5,642.97

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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.