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Finding the Fourth Proportional to 1,967.82, 2,947.68 and 1,421.10

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Solution

The fourth proportional to 1,967.82, 2,947.68 and 1,421.10 is: 2,128.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.82 : 2,947.68 = 1,421.10 : x
  2. Step 2: Convert to fraction form
    1,967.82/2,947.68 = 1,421.10/x
  3. Step 3: Cross multiply
    1,967.82x = 2,947.68 × 1,421.10
  4. Step 4: Simplify right side
    1,967.82x = 4,188,948.05
  5. Step 5: Solve for x
    x = 4,188,948.05/1,967.82
  6. Step 6: Final answer
    x = 2,128.73

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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.