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Finding the Fourth Proportional to 2,607.14, 3,909.37 and 851.01

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Solution

The fourth proportional to 2,607.14, 3,909.37 and 851.01 is: 1,276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.14 : 3,909.37 = 851.01 : x
  2. Step 2: Convert to fraction form
    2,607.14/3,909.37 = 851.01/x
  3. Step 3: Cross multiply
    2,607.14x = 3,909.37 × 851.01
  4. Step 4: Simplify right side
    2,607.14x = 3,326,912.96
  5. Step 5: Solve for x
    x = 3,326,912.96/2,607.14
  6. Step 6: Final answer
    x = 1,276.08

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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.