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Finding the Fourth Proportional to 11,613.25, 16,032.94 and 7,645.90

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Solution

The fourth proportional to 11,613.25, 16,032.94 and 7,645.90 is: 10,555.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.25 : 16,032.94 = 7,645.90 : x
  2. Step 2: Convert to fraction form
    11,613.25/16,032.94 = 7,645.90/x
  3. Step 3: Cross multiply
    11,613.25x = 16,032.94 × 7,645.90
  4. Step 4: Simplify right side
    11,613.25x = 122,586,241.15
  5. Step 5: Solve for x
    x = 122,586,241.15/11,613.25
  6. Step 6: Final answer
    x = 10,555.72

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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.