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Finding the Fourth Proportional to 7,861.80, 11,780.82 and 5,260.08

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Solution

The fourth proportional to 7,861.80, 11,780.82 and 5,260.08 is: 7,882.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.80 : 11,780.82 = 5,260.08 : x
  2. Step 2: Convert to fraction form
    7,861.80/11,780.82 = 5,260.08/x
  3. Step 3: Cross multiply
    7,861.80x = 11,780.82 × 5,260.08
  4. Step 4: Simplify right side
    7,861.80x = 61,968,055.67
  5. Step 5: Solve for x
    x = 61,968,055.67/7,861.80
  6. Step 6: Final answer
    x = 7,882.17

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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.