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Finding the Fourth Proportional to 9,090.88, 13,638.93 and 7,523.62

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Solution

The fourth proportional to 9,090.88, 13,638.93 and 7,523.62 is: 11,287.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090.88 : 13,638.93 = 7,523.62 : x
  2. Step 2: Convert to fraction form
    9,090.88/13,638.93 = 7,523.62/x
  3. Step 3: Cross multiply
    9,090.88x = 13,638.93 × 7,523.62
  4. Step 4: Simplify right side
    9,090.88x = 102,614,126.53
  5. Step 5: Solve for x
    x = 102,614,126.53/9,090.88
  6. Step 6: Final answer
    x = 11,287.59

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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.