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Finding the Fourth Proportional to 18,578.97, 27,877.77 and 9,814.77

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Solution

The fourth proportional to 18,578.97, 27,877.77 and 9,814.77 is: 14,727.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,578.97 : 27,877.77 = 9,814.77 : x
  2. Step 2: Convert to fraction form
    18,578.97/27,877.77 = 9,814.77/x
  3. Step 3: Cross multiply
    18,578.97x = 27,877.77 × 9,814.77
  4. Step 4: Simplify right side
    18,578.97x = 273,613,900.66
  5. Step 5: Solve for x
    x = 273,613,900.66/18,578.97
  6. Step 6: Final answer
    x = 14,727.08

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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.