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Finding the Fourth Proportional to 6,876, 9,480.02 and 5,615.72

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Solution

The fourth proportional to 6,876, 9,480.02 and 5,615.72 is: 7,742.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876 : 9,480.02 = 5,615.72 : x
  2. Step 2: Convert to fraction form
    6,876/9,480.02 = 5,615.72/x
  3. Step 3: Cross multiply
    6,876x = 9,480.02 × 5,615.72
  4. Step 4: Simplify right side
    6,876x = 53,237,137.91
  5. Step 5: Solve for x
    x = 53,237,137.91/6,876
  6. Step 6: Final answer
    x = 7,742.46

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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.