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Finding the Fourth Proportional to 3,856.71, 5,785.03 and 935.01

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Solution

The fourth proportional to 3,856.71, 5,785.03 and 935.01 is: 1,402.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.71 : 5,785.03 = 935.01 : x
  2. Step 2: Convert to fraction form
    3,856.71/5,785.03 = 935.01/x
  3. Step 3: Cross multiply
    3,856.71x = 5,785.03 × 935.01
  4. Step 4: Simplify right side
    3,856.71x = 5,409,060.90
  5. Step 5: Solve for x
    x = 5,409,060.90/3,856.71
  6. Step 6: Final answer
    x = 1,402.51

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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.