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Finding the Fourth Proportional to 1,581.07, 2,181.91 and 872.91

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Solution

The fourth proportional to 1,581.07, 2,181.91 and 872.91 is: 1,204.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.07 : 2,181.91 = 872.91 : x
  2. Step 2: Convert to fraction form
    1,581.07/2,181.91 = 872.91/x
  3. Step 3: Cross multiply
    1,581.07x = 2,181.91 × 872.91
  4. Step 4: Simplify right side
    1,581.07x = 1,904,611.06
  5. Step 5: Solve for x
    x = 1,904,611.06/1,581.07
  6. Step 6: Final answer
    x = 1,204.63

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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.