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Finding the Fourth Proportional to 12,296.58, 16,969.23 and 6,991.40

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Solution

The fourth proportional to 12,296.58, 16,969.23 and 6,991.40 is: 9,648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.58 : 16,969.23 = 6,991.40 : x
  2. Step 2: Convert to fraction form
    12,296.58/16,969.23 = 6,991.40/x
  3. Step 3: Cross multiply
    12,296.58x = 16,969.23 × 6,991.40
  4. Step 4: Simplify right side
    12,296.58x = 118,638,589.78
  5. Step 5: Solve for x
    x = 118,638,589.78/12,296.58
  6. Step 6: Final answer
    x = 9,648.10

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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.