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Finding the Fourth Proportional to 11,909.64, 16,425.82 and 7,661.19

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Solution

The fourth proportional to 11,909.64, 16,425.82 and 7,661.19 is: 10,566.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.64 : 16,425.82 = 7,661.19 : x
  2. Step 2: Convert to fraction form
    11,909.64/16,425.82 = 7,661.19/x
  3. Step 3: Cross multiply
    11,909.64x = 16,425.82 × 7,661.19
  4. Step 4: Simplify right side
    11,909.64x = 125,841,327.93
  5. Step 5: Solve for x
    x = 125,841,327.93/11,909.64
  6. Step 6: Final answer
    x = 10,566.34

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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.