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Finding the Fourth Proportional to 4,851.22, 7,280.02 and 2,661.50

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Solution

The fourth proportional to 4,851.22, 7,280.02 and 2,661.50 is: 3,994.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851.22 : 7,280.02 = 2,661.50 : x
  2. Step 2: Convert to fraction form
    4,851.22/7,280.02 = 2,661.50/x
  3. Step 3: Cross multiply
    4,851.22x = 7,280.02 × 2,661.50
  4. Step 4: Simplify right side
    4,851.22x = 19,375,773.23
  5. Step 5: Solve for x
    x = 19,375,773.23/4,851.22
  6. Step 6: Final answer
    x = 3,994.00

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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.