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Finding the Fourth Proportional to 6,408.72, 9,615.51 and 2,711.88

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Solution

The fourth proportional to 6,408.72, 9,615.51 and 2,711.88 is: 4,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.72 : 9,615.51 = 2,711.88 : x
  2. Step 2: Convert to fraction form
    6,408.72/9,615.51 = 2,711.88/x
  3. Step 3: Cross multiply
    6,408.72x = 9,615.51 × 2,711.88
  4. Step 4: Simplify right side
    6,408.72x = 26,076,109.26
  5. Step 5: Solve for x
    x = 26,076,109.26/6,408.72
  6. Step 6: Final answer
    x = 4,068.85

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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.