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Finding the Fourth Proportional to 8,290, 11,433.24 and 5,144.08

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Solution

The fourth proportional to 8,290, 11,433.24 and 5,144.08 is: 7,094.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290 : 11,433.24 = 5,144.08 : x
  2. Step 2: Convert to fraction form
    8,290/11,433.24 = 5,144.08/x
  3. Step 3: Cross multiply
    8,290x = 11,433.24 × 5,144.08
  4. Step 4: Simplify right side
    8,290x = 58,813,501.22
  5. Step 5: Solve for x
    x = 58,813,501.22/8,290
  6. Step 6: Final answer
    x = 7,094.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.