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Finding the Fourth Proportional to 2,841.68, 4,266.06 and 1,921.31

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Solution

The fourth proportional to 2,841.68, 4,266.06 and 1,921.31 is: 2,884.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.68 : 4,266.06 = 1,921.31 : x
  2. Step 2: Convert to fraction form
    2,841.68/4,266.06 = 1,921.31/x
  3. Step 3: Cross multiply
    2,841.68x = 4,266.06 × 1,921.31
  4. Step 4: Simplify right side
    2,841.68x = 8,196,423.74
  5. Step 5: Solve for x
    x = 8,196,423.74/2,841.68
  6. Step 6: Final answer
    x = 2,884.36

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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.