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Finding the Fourth Proportional to 12,334.68, 18,502.20 and 5,760

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Solution

The fourth proportional to 12,334.68, 18,502.20 and 5,760 is: 8,640.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,334.68 : 18,502.20 = 5,760 : x
  2. Step 2: Convert to fraction form
    12,334.68/18,502.20 = 5,760/x
  3. Step 3: Cross multiply
    12,334.68x = 18,502.20 × 5,760
  4. Step 4: Simplify right side
    12,334.68x = 106,572,672
  5. Step 5: Solve for x
    x = 106,572,672/12,334.68
  6. Step 6: Final answer
    x = 8,640.08

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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.