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Finding the Fourth Proportional to 4,811.52, 7,220.16 and 1,891.20

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Solution

The fourth proportional to 4,811.52, 7,220.16 and 1,891.20 is: 2,837.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.52 : 7,220.16 = 1,891.20 : x
  2. Step 2: Convert to fraction form
    4,811.52/7,220.16 = 1,891.20/x
  3. Step 3: Cross multiply
    4,811.52x = 7,220.16 × 1,891.20
  4. Step 4: Simplify right side
    4,811.52x = 13,654,766.59
  5. Step 5: Solve for x
    x = 13,654,766.59/4,811.52
  6. Step 6: Final answer
    x = 2,837.93

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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.