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Finding the Fourth Proportional to 9,231, 12,738.74 and 5,039.24

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Solution

The fourth proportional to 9,231, 12,738.74 and 5,039.24 is: 6,954.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231 : 12,738.74 = 5,039.24 : x
  2. Step 2: Convert to fraction form
    9,231/12,738.74 = 5,039.24/x
  3. Step 3: Cross multiply
    9,231x = 12,738.74 × 5,039.24
  4. Step 4: Simplify right side
    9,231x = 64,193,568.16
  5. Step 5: Solve for x
    x = 64,193,568.16/9,231
  6. Step 6: Final answer
    x = 6,954.13

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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.