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Finding the Fourth Proportional to 19,747.76, 29,628.55 and 8,653.00

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Solution

The fourth proportional to 19,747.76, 29,628.55 and 8,653.00 is: 12,982.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,747.76 : 29,628.55 = 8,653.00 : x
  2. Step 2: Convert to fraction form
    19,747.76/29,628.55 = 8,653.00/x
  3. Step 3: Cross multiply
    19,747.76x = 29,628.55 × 8,653.00
  4. Step 4: Simplify right side
    19,747.76x = 256,375,937.03
  5. Step 5: Solve for x
    x = 256,375,937.03/19,747.76
  6. Step 6: Final answer
    x = 12,982.54

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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.