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Finding the Fourth Proportional to 6,478.77, 9,716.16 and 4,257.48

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Solution

The fourth proportional to 6,478.77, 9,716.16 and 4,257.48 is: 6,384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.77 : 9,716.16 = 4,257.48 : x
  2. Step 2: Convert to fraction form
    6,478.77/9,716.16 = 4,257.48/x
  3. Step 3: Cross multiply
    6,478.77x = 9,716.16 × 4,257.48
  4. Step 4: Simplify right side
    6,478.77x = 41,366,335.59
  5. Step 5: Solve for x
    x = 41,366,335.59/6,478.77
  6. Step 6: Final answer
    x = 6,384.91

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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.