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Finding the Fourth Proportional to 5,541.78, 7,647.63 and 3,057.78

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Solution

The fourth proportional to 5,541.78, 7,647.63 and 3,057.78 is: 4,219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.78 : 7,647.63 = 3,057.78 : x
  2. Step 2: Convert to fraction form
    5,541.78/7,647.63 = 3,057.78/x
  3. Step 3: Cross multiply
    5,541.78x = 7,647.63 × 3,057.78
  4. Step 4: Simplify right side
    5,541.78x = 23,384,770.06
  5. Step 5: Solve for x
    x = 23,384,770.06/5,541.78
  6. Step 6: Final answer
    x = 4,219.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.