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Finding the Fourth Proportional to 3,911.83, 5,865.43 and 1,572.94

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Solution

The fourth proportional to 3,911.83, 5,865.43 and 1,572.94 is: 2,358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.83 : 5,865.43 = 1,572.94 : x
  2. Step 2: Convert to fraction form
    3,911.83/5,865.43 = 1,572.94/x
  3. Step 3: Cross multiply
    3,911.83x = 5,865.43 × 1,572.94
  4. Step 4: Simplify right side
    3,911.83x = 9,225,942.82
  5. Step 5: Solve for x
    x = 9,225,942.82/3,911.83
  6. Step 6: Final answer
    x = 2,358.47

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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.