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Finding the Fourth Proportional to 35,809, 53,716.38 and 11,185

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Solution

The fourth proportional to 35,809, 53,716.38 and 11,185 is: 16,778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,809 : 53,716.38 = 11,185 : x
  2. Step 2: Convert to fraction form
    35,809/53,716.38 = 11,185/x
  3. Step 3: Cross multiply
    35,809x = 53,716.38 × 11,185
  4. Step 4: Simplify right side
    35,809x = 600,817,710.30
  5. Step 5: Solve for x
    x = 600,817,710.30/35,809
  6. Step 6: Final answer
    x = 16,778.40

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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.