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Finding the Fourth Proportional to 2,807.61, 4,212.32 and 1,346.87

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Solution

The fourth proportional to 2,807.61, 4,212.32 and 1,346.87 is: 2,020.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.61 : 4,212.32 = 1,346.87 : x
  2. Step 2: Convert to fraction form
    2,807.61/4,212.32 = 1,346.87/x
  3. Step 3: Cross multiply
    2,807.61x = 4,212.32 × 1,346.87
  4. Step 4: Simplify right side
    2,807.61x = 5,673,419.64
  5. Step 5: Solve for x
    x = 5,673,419.64/2,807.61
  6. Step 6: Final answer
    x = 2,020.73

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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.