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Finding the Fourth Proportional to 4,964.70, 7,447.05 and 4,162.80

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Solution

The fourth proportional to 4,964.70, 7,447.05 and 4,162.80 is: 6,244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.70 : 7,447.05 = 4,162.80 : x
  2. Step 2: Convert to fraction form
    4,964.70/7,447.05 = 4,162.80/x
  3. Step 3: Cross multiply
    4,964.70x = 7,447.05 × 4,162.80
  4. Step 4: Simplify right side
    4,964.70x = 31,000,579.74
  5. Step 5: Solve for x
    x = 31,000,579.74/4,964.70
  6. Step 6: Final answer
    x = 6,244.20

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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.