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Finding the Fourth Proportional to 5,693.28, 7,854 and 3,453.72

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Solution

The fourth proportional to 5,693.28, 7,854 and 3,453.72 is: 4,764.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.28 : 7,854 = 3,453.72 : x
  2. Step 2: Convert to fraction form
    5,693.28/7,854 = 3,453.72/x
  3. Step 3: Cross multiply
    5,693.28x = 7,854 × 3,453.72
  4. Step 4: Simplify right side
    5,693.28x = 27,125,516.88
  5. Step 5: Solve for x
    x = 27,125,516.88/5,693.28
  6. Step 6: Final answer
    x = 4,764.48

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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.