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Finding the Fourth Proportional to 3,911.24, 5,866.86 and 1,963

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Solution

The fourth proportional to 3,911.24, 5,866.86 and 1,963 is: 2,944.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.24 : 5,866.86 = 1,963 : x
  2. Step 2: Convert to fraction form
    3,911.24/5,866.86 = 1,963/x
  3. Step 3: Cross multiply
    3,911.24x = 5,866.86 × 1,963
  4. Step 4: Simplify right side
    3,911.24x = 11,516,646.18
  5. Step 5: Solve for x
    x = 11,516,646.18/3,911.24
  6. Step 6: Final answer
    x = 2,944.50

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1.5x scale

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.