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Finding the Fourth Proportional to 3,290.76, 4,935.99 and 825.45

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Solution

The fourth proportional to 3,290.76, 4,935.99 and 825.45 is: 1,238.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.76 : 4,935.99 = 825.45 : x
  2. Step 2: Convert to fraction form
    3,290.76/4,935.99 = 825.45/x
  3. Step 3: Cross multiply
    3,290.76x = 4,935.99 × 825.45
  4. Step 4: Simplify right side
    3,290.76x = 4,074,412.95
  5. Step 5: Solve for x
    x = 4,074,412.95/3,290.76
  6. Step 6: Final answer
    x = 1,238.14

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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.