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Finding the Fourth Proportional to 12,232.55, 18,360 and 7,561.62

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Solution

The fourth proportional to 12,232.55, 18,360 and 7,561.62 is: 11,349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.55 : 18,360 = 7,561.62 : x
  2. Step 2: Convert to fraction form
    12,232.55/18,360 = 7,561.62/x
  3. Step 3: Cross multiply
    12,232.55x = 18,360 × 7,561.62
  4. Step 4: Simplify right side
    12,232.55x = 138,831,343.20
  5. Step 5: Solve for x
    x = 138,831,343.20/12,232.55
  6. Step 6: Final answer
    x = 11,349.34

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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.