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Finding the Fourth Proportional to 7,806.21, 11,707.17 and 3,642.09

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Solution

The fourth proportional to 7,806.21, 11,707.17 and 3,642.09 is: 5,462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.21 : 11,707.17 = 3,642.09 : x
  2. Step 2: Convert to fraction form
    7,806.21/11,707.17 = 3,642.09/x
  3. Step 3: Cross multiply
    7,806.21x = 11,707.17 × 3,642.09
  4. Step 4: Simplify right side
    7,806.21x = 42,638,566.79
  5. Step 5: Solve for x
    x = 42,638,566.79/7,806.21
  6. Step 6: Final answer
    x = 5,462.13

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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.