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Finding the Fourth Proportional to 6,700.90, 10,049.29 and 2,541.50

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Solution

The fourth proportional to 6,700.90, 10,049.29 and 2,541.50 is: 3,811.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.90 : 10,049.29 = 2,541.50 : x
  2. Step 2: Convert to fraction form
    6,700.90/10,049.29 = 2,541.50/x
  3. Step 3: Cross multiply
    6,700.90x = 10,049.29 × 2,541.50
  4. Step 4: Simplify right side
    6,700.90x = 25,540,231.48
  5. Step 5: Solve for x
    x = 25,540,231.48/6,700.90
  6. Step 6: Final answer
    x = 3,811.47

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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.