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Finding the Fourth Proportional to 11,894.77, 17,817.91 and 5,635.81

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Solution

The fourth proportional to 11,894.77, 17,817.91 and 5,635.81 is: 8,442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.77 : 17,817.91 = 5,635.81 : x
  2. Step 2: Convert to fraction form
    11,894.77/17,817.91 = 5,635.81/x
  3. Step 3: Cross multiply
    11,894.77x = 17,817.91 × 5,635.81
  4. Step 4: Simplify right side
    11,894.77x = 100,418,355.36
  5. Step 5: Solve for x
    x = 100,418,355.36/11,894.77
  6. Step 6: Final answer
    x = 8,442.23

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1.5x scale

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.