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Finding the Fourth Proportional to 1,581.95, 2,180.89 and 992.09

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Solution

The fourth proportional to 1,581.95, 2,180.89 and 992.09 is: 1,367.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.95 : 2,180.89 = 992.09 : x
  2. Step 2: Convert to fraction form
    1,581.95/2,180.89 = 992.09/x
  3. Step 3: Cross multiply
    1,581.95x = 2,180.89 × 992.09
  4. Step 4: Simplify right side
    1,581.95x = 2,163,639.16
  5. Step 5: Solve for x
    x = 2,163,639.16/1,581.95
  6. Step 6: Final answer
    x = 1,367.70

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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.