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Finding the Fourth Proportional to 35,811.40, 53,717.06 and 11,187.40

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Solution

The fourth proportional to 35,811.40, 53,717.06 and 11,187.40 is: 16,781.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,811.40 : 53,717.06 = 11,187.40 : x
  2. Step 2: Convert to fraction form
    35,811.40/53,717.06 = 11,187.40/x
  3. Step 3: Cross multiply
    35,811.40x = 53,717.06 × 11,187.40
  4. Step 4: Simplify right side
    35,811.40x = 600,954,237.04
  5. Step 5: Solve for x
    x = 600,954,237.04/35,811.40
  6. Step 6: Final answer
    x = 16,781.09

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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.