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Finding the Fourth Proportional to 6,270.50, 9,410.08 and 2,166.50

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Solution

The fourth proportional to 6,270.50, 9,410.08 and 2,166.50 is: 3,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.50 : 9,410.08 = 2,166.50 : x
  2. Step 2: Convert to fraction form
    6,270.50/9,410.08 = 2,166.50/x
  3. Step 3: Cross multiply
    6,270.50x = 9,410.08 × 2,166.50
  4. Step 4: Simplify right side
    6,270.50x = 20,386,938.32
  5. Step 5: Solve for x
    x = 20,386,938.32/6,270.50
  6. Step 6: Final answer
    x = 3,251.25

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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.