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Finding the Fourth Proportional to 6,539, 9,808.59 and 3,623

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Solution

The fourth proportional to 6,539, 9,808.59 and 3,623 is: 5,434.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539 : 9,808.59 = 3,623 : x
  2. Step 2: Convert to fraction form
    6,539/9,808.59 = 3,623/x
  3. Step 3: Cross multiply
    6,539x = 9,808.59 × 3,623
  4. Step 4: Simplify right side
    6,539x = 35,536,521.57
  5. Step 5: Solve for x
    x = 35,536,521.57/6,539
  6. Step 6: Final answer
    x = 5,434.55

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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.