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Finding the Fourth Proportional to 15,930.41, 21,983.73 and 9,215.88

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Solution

The fourth proportional to 15,930.41, 21,983.73 and 9,215.88 is: 12,717.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930.41 : 21,983.73 = 9,215.88 : x
  2. Step 2: Convert to fraction form
    15,930.41/21,983.73 = 9,215.88/x
  3. Step 3: Cross multiply
    15,930.41x = 21,983.73 × 9,215.88
  4. Step 4: Simplify right side
    15,930.41x = 202,599,417.63
  5. Step 5: Solve for x
    x = 202,599,417.63/15,930.41
  6. Step 6: Final answer
    x = 12,717.78

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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.