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Finding the Fourth Proportional to 9,888, 13,645.44 and 5,909.28

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Solution

The fourth proportional to 9,888, 13,645.44 and 5,909.28 is: 8,154.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888 : 13,645.44 = 5,909.28 : x
  2. Step 2: Convert to fraction form
    9,888/13,645.44 = 5,909.28/x
  3. Step 3: Cross multiply
    9,888x = 13,645.44 × 5,909.28
  4. Step 4: Simplify right side
    9,888x = 80,634,725.68
  5. Step 5: Solve for x
    x = 80,634,725.68/9,888
  6. Step 6: Final answer
    x = 8,154.81

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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.