Home / 2,151.96-2,969.66-1,207.80

Finding the Fourth Proportional to 2,151.96, 2,969.66 and 1,207.80

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Solution

The fourth proportional to 2,151.96, 2,969.66 and 1,207.80 is: 1,666.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.96 : 2,969.66 = 1,207.80 : x
  2. Step 2: Convert to fraction form
    2,151.96/2,969.66 = 1,207.80/x
  3. Step 3: Cross multiply
    2,151.96x = 2,969.66 × 1,207.80
  4. Step 4: Simplify right side
    2,151.96x = 3,586,755.35
  5. Step 5: Solve for x
    x = 3,586,755.35/2,151.96
  6. Step 6: Final answer
    x = 1,666.74

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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.