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Finding the Fourth Proportional to 4,946.64, 7,420.80 and 2,480.88

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Solution

The fourth proportional to 4,946.64, 7,420.80 and 2,480.88 is: 3,721.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.64 : 7,420.80 = 2,480.88 : x
  2. Step 2: Convert to fraction form
    4,946.64/7,420.80 = 2,480.88/x
  3. Step 3: Cross multiply
    4,946.64x = 7,420.80 × 2,480.88
  4. Step 4: Simplify right side
    4,946.64x = 18,410,114.30
  5. Step 5: Solve for x
    x = 18,410,114.30/4,946.64
  6. Step 6: Final answer
    x = 3,721.74

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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.