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Finding the Fourth Proportional to 11,909.40, 17,859.53 and 5,664.60

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Solution

The fourth proportional to 11,909.40, 17,859.53 and 5,664.60 is: 8,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.40 : 17,859.53 = 5,664.60 : x
  2. Step 2: Convert to fraction form
    11,909.40/17,859.53 = 5,664.60/x
  3. Step 3: Cross multiply
    11,909.40x = 17,859.53 × 5,664.60
  4. Step 4: Simplify right side
    11,909.40x = 101,167,065.32
  5. Step 5: Solve for x
    x = 101,167,065.32/11,909.40
  6. Step 6: Final answer
    x = 8,494.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.