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Finding the Fourth Proportional to 6,340.86, 8,747.94 and 4,217.36

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Solution

The fourth proportional to 6,340.86, 8,747.94 and 4,217.36 is: 5,818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.86 : 8,747.94 = 4,217.36 : x
  2. Step 2: Convert to fraction form
    6,340.86/8,747.94 = 4,217.36/x
  3. Step 3: Cross multiply
    6,340.86x = 8,747.94 × 4,217.36
  4. Step 4: Simplify right side
    6,340.86x = 36,893,168.50
  5. Step 5: Solve for x
    x = 36,893,168.50/6,340.86
  6. Step 6: Final answer
    x = 5,818.32

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1.5x scale

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.