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Finding the Fourth Proportional to 2,815, 3,884.76 and 1,573

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Solution

The fourth proportional to 2,815, 3,884.76 and 1,573 is: 2,170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815 : 3,884.76 = 1,573 : x
  2. Step 2: Convert to fraction form
    2,815/3,884.76 = 1,573/x
  3. Step 3: Cross multiply
    2,815x = 3,884.76 × 1,573
  4. Step 4: Simplify right side
    2,815x = 6,110,727.48
  5. Step 5: Solve for x
    x = 6,110,727.48/2,815
  6. Step 6: Final answer
    x = 2,170.77

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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.