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Finding the Fourth Proportional to 2,166.99, 2,990.97 and 1,271.16

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Solution

The fourth proportional to 2,166.99, 2,990.97 and 1,271.16 is: 1,754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.99 : 2,990.97 = 1,271.16 : x
  2. Step 2: Convert to fraction form
    2,166.99/2,990.97 = 1,271.16/x
  3. Step 3: Cross multiply
    2,166.99x = 2,990.97 × 1,271.16
  4. Step 4: Simplify right side
    2,166.99x = 3,802,001.43
  5. Step 5: Solve for x
    x = 3,802,001.43/2,166.99
  6. Step 6: Final answer
    x = 1,754.51

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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.