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Finding the Fourth Proportional to 2,878.14, 3,968.01 and 1,881.71

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Solution

The fourth proportional to 2,878.14, 3,968.01 and 1,881.71 is: 2,594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.14 : 3,968.01 = 1,881.71 : x
  2. Step 2: Convert to fraction form
    2,878.14/3,968.01 = 1,881.71/x
  3. Step 3: Cross multiply
    2,878.14x = 3,968.01 × 1,881.71
  4. Step 4: Simplify right side
    2,878.14x = 7,466,624.26
  5. Step 5: Solve for x
    x = 7,466,624.26/2,878.14
  6. Step 6: Final answer
    x = 2,594.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.