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Finding the Fourth Proportional to 2,807.39, 4,212.00 and 1,346.66

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Solution

The fourth proportional to 2,807.39, 4,212.00 and 1,346.66 is: 2,020.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.39 : 4,212.00 = 1,346.66 : x
  2. Step 2: Convert to fraction form
    2,807.39/4,212.00 = 1,346.66/x
  3. Step 3: Cross multiply
    2,807.39x = 4,212.00 × 1,346.66
  4. Step 4: Simplify right side
    2,807.39x = 5,672,104.13
  5. Step 5: Solve for x
    x = 5,672,104.13/2,807.39
  6. Step 6: Final answer
    x = 2,020.42

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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.