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Finding the Fourth Proportional to 16,645, 22,971.56 and 9,194.44

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Solution

The fourth proportional to 16,645, 22,971.56 and 9,194.44 is: 12,689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,645 : 22,971.56 = 9,194.44 : x
  2. Step 2: Convert to fraction form
    16,645/22,971.56 = 9,194.44/x
  3. Step 3: Cross multiply
    16,645x = 22,971.56 × 9,194.44
  4. Step 4: Simplify right side
    16,645x = 211,210,630.13
  5. Step 5: Solve for x
    x = 211,210,630.13/16,645
  6. Step 6: Final answer
    x = 12,689.13

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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.