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Finding the Fourth Proportional to 11,889.13, 17,808.41 and 9,657.48

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Solution

The fourth proportional to 11,889.13, 17,808.41 and 9,657.48 is: 14,465.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.13 : 17,808.41 = 9,657.48 : x
  2. Step 2: Convert to fraction form
    11,889.13/17,808.41 = 9,657.48/x
  3. Step 3: Cross multiply
    11,889.13x = 17,808.41 × 9,657.48
  4. Step 4: Simplify right side
    11,889.13x = 171,984,315.12
  5. Step 5: Solve for x
    x = 171,984,315.12/11,889.13
  6. Step 6: Final answer
    x = 14,465.68

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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.