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Finding the Fourth Proportional to 11,639.16, 17,431.74 and 6,696.54

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Solution

The fourth proportional to 11,639.16, 17,431.74 and 6,696.54 is: 10,029.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,639.16 : 17,431.74 = 6,696.54 : x
  2. Step 2: Convert to fraction form
    11,639.16/17,431.74 = 6,696.54/x
  3. Step 3: Cross multiply
    11,639.16x = 17,431.74 × 6,696.54
  4. Step 4: Simplify right side
    11,639.16x = 116,732,344.18
  5. Step 5: Solve for x
    x = 116,732,344.18/11,639.16
  6. Step 6: Final answer
    x = 10,029.28

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1.5x scale

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.