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Finding the Fourth Proportional to 12,638.94, 17,442.84 and 6,974.22

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Solution

The fourth proportional to 12,638.94, 17,442.84 and 6,974.22 is: 9,625.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.94 : 17,442.84 = 6,974.22 : x
  2. Step 2: Convert to fraction form
    12,638.94/17,442.84 = 6,974.22/x
  3. Step 3: Cross multiply
    12,638.94x = 17,442.84 × 6,974.22
  4. Step 4: Simplify right side
    12,638.94x = 121,650,203.58
  5. Step 5: Solve for x
    x = 121,650,203.58/12,638.94
  6. Step 6: Final answer
    x = 9,625.03

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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.