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Finding the Fourth Proportional to 7,861.98, 11,800.01 and 7,027.72

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Solution

The fourth proportional to 7,861.98, 11,800.01 and 7,027.72 is: 10,547.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.98 : 11,800.01 = 7,027.72 : x
  2. Step 2: Convert to fraction form
    7,861.98/11,800.01 = 7,027.72/x
  3. Step 3: Cross multiply
    7,861.98x = 11,800.01 × 7,027.72
  4. Step 4: Simplify right side
    7,861.98x = 82,927,154.35
  5. Step 5: Solve for x
    x = 82,927,154.35/7,861.98
  6. Step 6: Final answer
    x = 10,547.87

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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.