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Finding the Fourth Proportional to 2,607.80, 3,912.13 and 852.30

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Solution

The fourth proportional to 2,607.80, 3,912.13 and 852.30 is: 1,278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.80 : 3,912.13 = 852.30 : x
  2. Step 2: Convert to fraction form
    2,607.80/3,912.13 = 852.30/x
  3. Step 3: Cross multiply
    2,607.80x = 3,912.13 × 852.30
  4. Step 4: Simplify right side
    2,607.80x = 3,334,308.40
  5. Step 5: Solve for x
    x = 3,334,308.40/2,607.80
  6. Step 6: Final answer
    x = 1,278.59

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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.