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Finding the Fourth Proportional to 15,707.78, 21,676.74 and 8,634.68

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Solution

The fourth proportional to 15,707.78, 21,676.74 and 8,634.68 is: 11,915.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,707.78 : 21,676.74 = 8,634.68 : x
  2. Step 2: Convert to fraction form
    15,707.78/21,676.74 = 8,634.68/x
  3. Step 3: Cross multiply
    15,707.78x = 21,676.74 × 8,634.68
  4. Step 4: Simplify right side
    15,707.78x = 187,171,713.34
  5. Step 5: Solve for x
    x = 187,171,713.34/15,707.78
  6. Step 6: Final answer
    x = 11,915.86

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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.