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Finding the Fourth Proportional to 15,696.72, 21,661.64 and 9,731.28

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Solution

The fourth proportional to 15,696.72, 21,661.64 and 9,731.28 is: 13,429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,696.72 : 21,661.64 = 9,731.28 : x
  2. Step 2: Convert to fraction form
    15,696.72/21,661.64 = 9,731.28/x
  3. Step 3: Cross multiply
    15,696.72x = 21,661.64 × 9,731.28
  4. Step 4: Simplify right side
    15,696.72x = 210,795,484.10
  5. Step 5: Solve for x
    x = 210,795,484.10/15,696.72
  6. Step 6: Final answer
    x = 13,429.27

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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.