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Finding the Fourth Proportional to 15,721.32, 21,696.32 and 9,007.76

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Solution

The fourth proportional to 15,721.32, 21,696.32 and 9,007.76 is: 12,431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,721.32 : 21,696.32 = 9,007.76 : x
  2. Step 2: Convert to fraction form
    15,721.32/21,696.32 = 9,007.76/x
  3. Step 3: Cross multiply
    15,721.32x = 21,696.32 × 9,007.76
  4. Step 4: Simplify right side
    15,721.32x = 195,435,243.44
  5. Step 5: Solve for x
    x = 195,435,243.44/15,721.32
  6. Step 6: Final answer
    x = 12,431.22

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1.5x scale

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.