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Finding the Fourth Proportional to 12,814.00, 19,195.48 and 8,418.13

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Solution

The fourth proportional to 12,814.00, 19,195.48 and 8,418.13 is: 12,610.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.00 : 19,195.48 = 8,418.13 : x
  2. Step 2: Convert to fraction form
    12,814.00/19,195.48 = 8,418.13/x
  3. Step 3: Cross multiply
    12,814.00x = 19,195.48 × 8,418.13
  4. Step 4: Simplify right side
    12,814.00x = 161,590,008.59
  5. Step 5: Solve for x
    x = 161,590,008.59/12,814.00
  6. Step 6: Final answer
    x = 12,610.43

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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.