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Finding the Fourth Proportional to 7,100.20, 10,661.10 and 5,458.60

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Solution

The fourth proportional to 7,100.20, 10,661.10 and 5,458.60 is: 8,196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.20 : 10,661.10 = 5,458.60 : x
  2. Step 2: Convert to fraction form
    7,100.20/10,661.10 = 5,458.60/x
  3. Step 3: Cross multiply
    7,100.20x = 10,661.10 × 5,458.60
  4. Step 4: Simplify right side
    7,100.20x = 58,194,680.46
  5. Step 5: Solve for x
    x = 58,194,680.46/7,100.20
  6. Step 6: Final answer
    x = 8,196.20

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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.