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Finding the Fourth Proportional to 2,051.78, 3,077.42 and 571.11

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Solution

The fourth proportional to 2,051.78, 3,077.42 and 571.11 is: 856.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.78 : 3,077.42 = 571.11 : x
  2. Step 2: Convert to fraction form
    2,051.78/3,077.42 = 571.11/x
  3. Step 3: Cross multiply
    2,051.78x = 3,077.42 × 571.11
  4. Step 4: Simplify right side
    2,051.78x = 1,757,545.34
  5. Step 5: Solve for x
    x = 1,757,545.34/2,051.78
  6. Step 6: Final answer
    x = 856.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.