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Finding the Fourth Proportional to 5,770.49, 7,962.81 and 3,252.10

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Solution

The fourth proportional to 5,770.49, 7,962.81 and 3,252.10 is: 4,487.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.49 : 7,962.81 = 3,252.10 : x
  2. Step 2: Convert to fraction form
    5,770.49/7,962.81 = 3,252.10/x
  3. Step 3: Cross multiply
    5,770.49x = 7,962.81 × 3,252.10
  4. Step 4: Simplify right side
    5,770.49x = 25,895,837.23
  5. Step 5: Solve for x
    x = 25,895,837.23/5,770.49
  6. Step 6: Final answer
    x = 4,487.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.