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Finding the Fourth Proportional to 9,647, 13,312.94 and 5,231

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Solution

The fourth proportional to 9,647, 13,312.94 and 5,231 is: 7,218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647 : 13,312.94 = 5,231 : x
  2. Step 2: Convert to fraction form
    9,647/13,312.94 = 5,231/x
  3. Step 3: Cross multiply
    9,647x = 13,312.94 × 5,231
  4. Step 4: Simplify right side
    9,647x = 69,639,989.14
  5. Step 5: Solve for x
    x = 69,639,989.14/9,647
  6. Step 6: Final answer
    x = 7,218.82

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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.