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Finding the Fourth Proportional to 7,805.67, 11,701.92 and 3,643.47

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Solution

The fourth proportional to 7,805.67, 11,701.92 and 3,643.47 is: 5,462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.67 : 11,701.92 = 3,643.47 : x
  2. Step 2: Convert to fraction form
    7,805.67/11,701.92 = 3,643.47/x
  3. Step 3: Cross multiply
    7,805.67x = 11,701.92 × 3,643.47
  4. Step 4: Simplify right side
    7,805.67x = 42,635,594.46
  5. Step 5: Solve for x
    x = 42,635,594.46/7,805.67
  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.