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Finding the Fourth Proportional to 3,097.50, 4,647.77 and 1,454.18

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Solution

The fourth proportional to 3,097.50, 4,647.77 and 1,454.18 is: 2,181.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.50 : 4,647.77 = 1,454.18 : x
  2. Step 2: Convert to fraction form
    3,097.50/4,647.77 = 1,454.18/x
  3. Step 3: Cross multiply
    3,097.50x = 4,647.77 × 1,454.18
  4. Step 4: Simplify right side
    3,097.50x = 6,758,694.18
  5. Step 5: Solve for x
    x = 6,758,694.18/3,097.50
  6. Step 6: Final answer
    x = 2,181.98

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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.