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Finding the Fourth Proportional to 2,166.03, 2,989.00 and 1,221.76

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Solution

The fourth proportional to 2,166.03, 2,989.00 and 1,221.76 is: 1,685.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.03 : 2,989.00 = 1,221.76 : x
  2. Step 2: Convert to fraction form
    2,166.03/2,989.00 = 1,221.76/x
  3. Step 3: Cross multiply
    2,166.03x = 2,989.00 × 1,221.76
  4. Step 4: Simplify right side
    2,166.03x = 3,651,851.26
  5. Step 5: Solve for x
    x = 3,651,851.26/2,166.03
  6. Step 6: Final answer
    x = 1,685.97

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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.