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Finding the Fourth Proportional to 6,487.17, 9,730.80 and 2,104.80

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Solution

The fourth proportional to 6,487.17, 9,730.80 and 2,104.80 is: 3,157.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.17 : 9,730.80 = 2,104.80 : x
  2. Step 2: Convert to fraction form
    6,487.17/9,730.80 = 2,104.80/x
  3. Step 3: Cross multiply
    6,487.17x = 9,730.80 × 2,104.80
  4. Step 4: Simplify right side
    6,487.17x = 20,481,387.84
  5. Step 5: Solve for x
    x = 20,481,387.84/6,487.17
  6. Step 6: Final answer
    x = 3,157.21

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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.