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Finding the Fourth Proportional to 2,881.67, 3,968.93 and 2,488.01

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Solution

The fourth proportional to 2,881.67, 3,968.93 and 2,488.01 is: 3,426.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.67 : 3,968.93 = 2,488.01 : x
  2. Step 2: Convert to fraction form
    2,881.67/3,968.93 = 2,488.01/x
  3. Step 3: Cross multiply
    2,881.67x = 3,968.93 × 2,488.01
  4. Step 4: Simplify right side
    2,881.67x = 9,874,723.90
  5. Step 5: Solve for x
    x = 9,874,723.90/2,881.67
  6. Step 6: Final answer
    x = 3,426.74

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1.5x scale

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.