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Finding the Fourth Proportional to 2,101.64, 3,127.64 and 2,031.56

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Solution

The fourth proportional to 2,101.64, 3,127.64 and 2,031.56 is: 3,023.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.64 : 3,127.64 = 2,031.56 : x
  2. Step 2: Convert to fraction form
    2,101.64/3,127.64 = 2,031.56/x
  3. Step 3: Cross multiply
    2,101.64x = 3,127.64 × 2,031.56
  4. Step 4: Simplify right side
    2,101.64x = 6,354,001.67
  5. Step 5: Solve for x
    x = 6,354,001.67/2,101.64
  6. Step 6: Final answer
    x = 3,023.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.