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Finding the Fourth Proportional to 4,807.13, 7,211.72 and 1,520.49

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Solution

The fourth proportional to 4,807.13, 7,211.72 and 1,520.49 is: 2,281.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.13 : 7,211.72 = 1,520.49 : x
  2. Step 2: Convert to fraction form
    4,807.13/7,211.72 = 1,520.49/x
  3. Step 3: Cross multiply
    4,807.13x = 7,211.72 × 1,520.49
  4. Step 4: Simplify right side
    4,807.13x = 10,965,348.14
  5. Step 5: Solve for x
    x = 10,965,348.14/4,807.13
  6. Step 6: Final answer
    x = 2,281.06

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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.