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Finding the Fourth Proportional to 3,568.64, 5,352.56 and 971.78

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Solution

The fourth proportional to 3,568.64, 5,352.56 and 971.78 is: 1,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.64 : 5,352.56 = 971.78 : x
  2. Step 2: Convert to fraction form
    3,568.64/5,352.56 = 971.78/x
  3. Step 3: Cross multiply
    3,568.64x = 5,352.56 × 971.78
  4. Step 4: Simplify right side
    3,568.64x = 5,201,505.90
  5. Step 5: Solve for x
    x = 5,201,505.90/3,568.64
  6. Step 6: Final answer
    x = 1,457.56

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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.