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Finding the Fourth Proportional to 6,364.21, 8,782.38 and 3,531.71

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Solution

The fourth proportional to 6,364.21, 8,782.38 and 3,531.71 is: 4,873.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.21 : 8,782.38 = 3,531.71 : x
  2. Step 2: Convert to fraction form
    6,364.21/8,782.38 = 3,531.71/x
  3. Step 3: Cross multiply
    6,364.21x = 8,782.38 × 3,531.71
  4. Step 4: Simplify right side
    6,364.21x = 31,016,826.46
  5. Step 5: Solve for x
    x = 31,016,826.46/6,364.21
  6. Step 6: Final answer
    x = 4,873.63

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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.