Home / 2,159.83-2,982-1,661.59

Finding the Fourth Proportional to 2,159.83, 2,982 and 1,661.59

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Solution

The fourth proportional to 2,159.83, 2,982 and 1,661.59 is: 2,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.83 : 2,982 = 1,661.59 : x
  2. Step 2: Convert to fraction form
    2,159.83/2,982 = 1,661.59/x
  3. Step 3: Cross multiply
    2,159.83x = 2,982 × 1,661.59
  4. Step 4: Simplify right side
    2,159.83x = 4,954,861.38
  5. Step 5: Solve for x
    x = 4,954,861.38/2,159.83
  6. Step 6: Final answer
    x = 2,294.10

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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.