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Finding the Fourth Proportional to 12,293.40, 16,965.90 and 6,989.88

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Solution

The fourth proportional to 12,293.40, 16,965.90 and 6,989.88 is: 9,646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293.40 : 16,965.90 = 6,989.88 : x
  2. Step 2: Convert to fraction form
    12,293.40/16,965.90 = 6,989.88/x
  3. Step 3: Cross multiply
    12,293.40x = 16,965.90 × 6,989.88
  4. Step 4: Simplify right side
    12,293.40x = 118,589,605.09
  5. Step 5: Solve for x
    x = 118,589,605.09/12,293.40
  6. Step 6: Final answer
    x = 9,646.61

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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.