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Finding the Fourth Proportional to 2,648.14, 3,973.29 and 2,132.98

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Solution

The fourth proportional to 2,648.14, 3,973.29 and 2,132.98 is: 3,200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.14 : 3,973.29 = 2,132.98 : x
  2. Step 2: Convert to fraction form
    2,648.14/3,973.29 = 2,132.98/x
  3. Step 3: Cross multiply
    2,648.14x = 3,973.29 × 2,132.98
  4. Step 4: Simplify right side
    2,648.14x = 8,474,948.10
  5. Step 5: Solve for x
    x = 8,474,948.10/2,648.14
  6. Step 6: Final answer
    x = 3,200.34

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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.