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Finding the Fourth Proportional to 10,605.87, 15,911.01 and 3,211.02

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Solution

The fourth proportional to 10,605.87, 15,911.01 and 3,211.02 is: 4,817.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.87 : 15,911.01 = 3,211.02 : x
  2. Step 2: Convert to fraction form
    10,605.87/15,911.01 = 3,211.02/x
  3. Step 3: Cross multiply
    10,605.87x = 15,911.01 × 3,211.02
  4. Step 4: Simplify right side
    10,605.87x = 51,090,571.33
  5. Step 5: Solve for x
    x = 51,090,571.33/10,605.87
  6. Step 6: Final answer
    x = 4,817.20

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1.5x scale

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.