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Finding the Fourth Proportional to 2,167.49, 2,991.13 and 1,172.77

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Solution

The fourth proportional to 2,167.49, 2,991.13 and 1,172.77 is: 1,618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.49 : 2,991.13 = 1,172.77 : x
  2. Step 2: Convert to fraction form
    2,167.49/2,991.13 = 1,172.77/x
  3. Step 3: Cross multiply
    2,167.49x = 2,991.13 × 1,172.77
  4. Step 4: Simplify right side
    2,167.49x = 3,507,892.57
  5. Step 5: Solve for x
    x = 3,507,892.57/2,167.49
  6. Step 6: Final answer
    x = 1,618.41

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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.