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Finding the Fourth Proportional to 4,276.88, 5,902 and 2,388.40

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Solution

The fourth proportional to 4,276.88, 5,902 and 2,388.40 is: 3,295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276.88 : 5,902 = 2,388.40 : x
  2. Step 2: Convert to fraction form
    4,276.88/5,902 = 2,388.40/x
  3. Step 3: Cross multiply
    4,276.88x = 5,902 × 2,388.40
  4. Step 4: Simplify right side
    4,276.88x = 14,096,336.80
  5. Step 5: Solve for x
    x = 14,096,336.80/4,276.88
  6. Step 6: Final answer
    x = 3,295.94

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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.