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Finding the Fourth Proportional to 7,100.10, 10,650.15 and 2,939.54

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Solution

The fourth proportional to 7,100.10, 10,650.15 and 2,939.54 is: 4,409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.10 : 10,650.15 = 2,939.54 : x
  2. Step 2: Convert to fraction form
    7,100.10/10,650.15 = 2,939.54/x
  3. Step 3: Cross multiply
    7,100.10x = 10,650.15 × 2,939.54
  4. Step 4: Simplify right side
    7,100.10x = 31,306,541.93
  5. Step 5: Solve for x
    x = 31,306,541.93/7,100.10
  6. Step 6: Final answer
    x = 4,409.31

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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.