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Finding the Fourth Proportional to 2,648.50, 3,971.72 and 1,066.80

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Solution

The fourth proportional to 2,648.50, 3,971.72 and 1,066.80 is: 1,599.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.50 : 3,971.72 = 1,066.80 : x
  2. Step 2: Convert to fraction form
    2,648.50/3,971.72 = 1,066.80/x
  3. Step 3: Cross multiply
    2,648.50x = 3,971.72 × 1,066.80
  4. Step 4: Simplify right side
    2,648.50x = 4,237,030.90
  5. Step 5: Solve for x
    x = 4,237,030.90/2,648.50
  6. Step 6: Final answer
    x = 1,599.79

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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.