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Finding the Fourth Proportional to 2,051.01, 3,076.71 and 881.40

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Solution

The fourth proportional to 2,051.01, 3,076.71 and 881.40 is: 1,322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.01 : 3,076.71 = 881.40 : x
  2. Step 2: Convert to fraction form
    2,051.01/3,076.71 = 881.40/x
  3. Step 3: Cross multiply
    2,051.01x = 3,076.71 × 881.40
  4. Step 4: Simplify right side
    2,051.01x = 2,711,812.19
  5. Step 5: Solve for x
    x = 2,711,812.19/2,051.01
  6. Step 6: Final answer
    x = 1,322.18

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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.