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Finding the Fourth Proportional to 15,701.72, 21,662.96 and 9,731.21

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Solution

The fourth proportional to 15,701.72, 21,662.96 and 9,731.21 is: 13,425.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,701.72 : 21,662.96 = 9,731.21 : x
  2. Step 2: Convert to fraction form
    15,701.72/21,662.96 = 9,731.21/x
  3. Step 3: Cross multiply
    15,701.72x = 21,662.96 × 9,731.21
  4. Step 4: Simplify right side
    15,701.72x = 210,806,656.01
  5. Step 5: Solve for x
    x = 210,806,656.01/15,701.72
  6. Step 6: Final answer
    x = 13,425.71

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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.