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Finding the Fourth Proportional to 2,921.63, 4,031.84 and 1,679.63

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Solution

The fourth proportional to 2,921.63, 4,031.84 and 1,679.63 is: 2,317.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.63 : 4,031.84 = 1,679.63 : x
  2. Step 2: Convert to fraction form
    2,921.63/4,031.84 = 1,679.63/x
  3. Step 3: Cross multiply
    2,921.63x = 4,031.84 × 1,679.63
  4. Step 4: Simplify right side
    2,921.63x = 6,771,983.46
  5. Step 5: Solve for x
    x = 6,771,983.46/2,921.63
  6. Step 6: Final answer
    x = 2,317.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.