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Finding the Fourth Proportional to 11,422.55, 17,101 and 8,440.94

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Solution

The fourth proportional to 11,422.55, 17,101 and 8,440.94 is: 12,637.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.55 : 17,101 = 8,440.94 : x
  2. Step 2: Convert to fraction form
    11,422.55/17,101 = 8,440.94/x
  3. Step 3: Cross multiply
    11,422.55x = 17,101 × 8,440.94
  4. Step 4: Simplify right side
    11,422.55x = 144,348,514.94
  5. Step 5: Solve for x
    x = 144,348,514.94/11,422.55
  6. Step 6: Final answer
    x = 12,637.15

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1.5x scale

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.