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Finding the Fourth Proportional to 2,801, 3,865.38 and 1,559

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Solution

The fourth proportional to 2,801, 3,865.38 and 1,559 is: 2,151.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801 : 3,865.38 = 1,559 : x
  2. Step 2: Convert to fraction form
    2,801/3,865.38 = 1,559/x
  3. Step 3: Cross multiply
    2,801x = 3,865.38 × 1,559
  4. Step 4: Simplify right side
    2,801x = 6,026,127.42
  5. Step 5: Solve for x
    x = 6,026,127.42/2,801
  6. Step 6: Final answer
    x = 2,151.42

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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.