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Finding the Fourth Proportional to 11,578.60, 17,411.10 and 9,677.80

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Solution

The fourth proportional to 11,578.60, 17,411.10 and 9,677.80 is: 14,552.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.60 : 17,411.10 = 9,677.80 : x
  2. Step 2: Convert to fraction form
    11,578.60/17,411.10 = 9,677.80/x
  3. Step 3: Cross multiply
    11,578.60x = 17,411.10 × 9,677.80
  4. Step 4: Simplify right side
    11,578.60x = 168,501,143.58
  5. Step 5: Solve for x
    x = 168,501,143.58/11,578.60
  6. Step 6: Final answer
    x = 14,552.81

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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.