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Finding the Fourth Proportional to 7,806.60, 11,707.50 and 2,876.68

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Solution

The fourth proportional to 7,806.60, 11,707.50 and 2,876.68 is: 4,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.60 : 11,707.50 = 2,876.68 : x
  2. Step 2: Convert to fraction form
    7,806.60/11,707.50 = 2,876.68/x
  3. Step 3: Cross multiply
    7,806.60x = 11,707.50 × 2,876.68
  4. Step 4: Simplify right side
    7,806.60x = 33,678,731.10
  5. Step 5: Solve for x
    x = 33,678,731.10/7,806.60
  6. Step 6: Final answer
    x = 4,314.14

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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.