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Finding the Fourth Proportional to 3,565.64, 5,348.73 and 968.78

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Solution

The fourth proportional to 3,565.64, 5,348.73 and 968.78 is: 1,453.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.64 : 5,348.73 = 968.78 : x
  2. Step 2: Convert to fraction form
    3,565.64/5,348.73 = 968.78/x
  3. Step 3: Cross multiply
    3,565.64x = 5,348.73 × 968.78
  4. Step 4: Simplify right side
    3,565.64x = 5,181,742.65
  5. Step 5: Solve for x
    x = 5,181,742.65/3,565.64
  6. Step 6: Final answer
    x = 1,453.24

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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.