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Finding the Fourth Proportional to 6,575.72, 9,861.15 and 2,678

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Solution

The fourth proportional to 6,575.72, 9,861.15 and 2,678 is: 4,016.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.72 : 9,861.15 = 2,678 : x
  2. Step 2: Convert to fraction form
    6,575.72/9,861.15 = 2,678/x
  3. Step 3: Cross multiply
    6,575.72x = 9,861.15 × 2,678
  4. Step 4: Simplify right side
    6,575.72x = 26,408,159.70
  5. Step 5: Solve for x
    x = 26,408,159.70/6,575.72
  6. Step 6: Final answer
    x = 4,016.01

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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.