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Finding the Fourth Proportional to 6,478.88, 9,718.36 and 2,583.28

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Solution

The fourth proportional to 6,478.88, 9,718.36 and 2,583.28 is: 3,874.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.88 : 9,718.36 = 2,583.28 : x
  2. Step 2: Convert to fraction form
    6,478.88/9,718.36 = 2,583.28/x
  3. Step 3: Cross multiply
    6,478.88x = 9,718.36 × 2,583.28
  4. Step 4: Simplify right side
    6,478.88x = 25,105,245.02
  5. Step 5: Solve for x
    x = 25,105,245.02/6,478.88
  6. Step 6: Final answer
    x = 3,874.94

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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.