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Finding the Fourth Proportional to 15,728.48, 21,704.48 and 8,654.64

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Solution

The fourth proportional to 15,728.48, 21,704.48 and 8,654.64 is: 11,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728.48 : 21,704.48 = 8,654.64 : x
  2. Step 2: Convert to fraction form
    15,728.48/21,704.48 = 8,654.64/x
  3. Step 3: Cross multiply
    15,728.48x = 21,704.48 × 8,654.64
  4. Step 4: Simplify right side
    15,728.48x = 187,844,460.79
  5. Step 5: Solve for x
    x = 187,844,460.79/15,728.48
  6. Step 6: Final answer
    x = 11,942.95

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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.