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Finding the Fourth Proportional to 11,090.50, 15,304.90 and 6,122.50

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Solution

The fourth proportional to 11,090.50, 15,304.90 and 6,122.50 is: 8,449.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,090.50 : 15,304.90 = 6,122.50 : x
  2. Step 2: Convert to fraction form
    11,090.50/15,304.90 = 6,122.50/x
  3. Step 3: Cross multiply
    11,090.50x = 15,304.90 × 6,122.50
  4. Step 4: Simplify right side
    11,090.50x = 93,704,250.25
  5. Step 5: Solve for x
    x = 93,704,250.25/11,090.50
  6. Step 6: Final answer
    x = 8,449.06

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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.