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Finding the Fourth Proportional to 7,886.65, 11,805.37 and 5,809.00

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Solution

The fourth proportional to 7,886.65, 11,805.37 and 5,809.00 is: 8,695.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.65 : 11,805.37 = 5,809.00 : x
  2. Step 2: Convert to fraction form
    7,886.65/11,805.37 = 5,809.00/x
  3. Step 3: Cross multiply
    7,886.65x = 11,805.37 × 5,809.00
  4. Step 4: Simplify right side
    7,886.65x = 68,577,350.29
  5. Step 5: Solve for x
    x = 68,577,350.29/7,886.65
  6. Step 6: Final answer
    x = 8,695.37

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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.