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Finding the Fourth Proportional to 9,640.54, 14,457.16 and 5,255.61

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Solution

The fourth proportional to 9,640.54, 14,457.16 and 5,255.61 is: 7,881.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.54 : 14,457.16 = 5,255.61 : x
  2. Step 2: Convert to fraction form
    9,640.54/14,457.16 = 5,255.61/x
  3. Step 3: Cross multiply
    9,640.54x = 14,457.16 × 5,255.61
  4. Step 4: Simplify right side
    9,640.54x = 75,981,194.67
  5. Step 5: Solve for x
    x = 75,981,194.67/9,640.54
  6. Step 6: Final answer
    x = 7,881.43

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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.