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Finding the Fourth Proportional to 2,648.01, 3,972.10 and 1,166.47

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Solution

The fourth proportional to 2,648.01, 3,972.10 and 1,166.47 is: 1,749.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.01 : 3,972.10 = 1,166.47 : x
  2. Step 2: Convert to fraction form
    2,648.01/3,972.10 = 1,166.47/x
  3. Step 3: Cross multiply
    2,648.01x = 3,972.10 × 1,166.47
  4. Step 4: Simplify right side
    2,648.01x = 4,633,335.49
  5. Step 5: Solve for x
    x = 4,633,335.49/2,648.01
  6. Step 6: Final answer
    x = 1,749.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.