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Finding the Fourth Proportional to 12,695.71, 17,514.22 and 8,220.91

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Solution

The fourth proportional to 12,695.71, 17,514.22 and 8,220.91 is: 11,341.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,695.71 : 17,514.22 = 8,220.91 : x
  2. Step 2: Convert to fraction form
    12,695.71/17,514.22 = 8,220.91/x
  3. Step 3: Cross multiply
    12,695.71x = 17,514.22 × 8,220.91
  4. Step 4: Simplify right side
    12,695.71x = 143,982,826.34
  5. Step 5: Solve for x
    x = 143,982,826.34/12,695.71
  6. Step 6: Final answer
    x = 11,341.06

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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.