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Finding the Fourth Proportional to 13,194.78, 19,777.86 and 6,605.07

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Solution

The fourth proportional to 13,194.78, 19,777.86 and 6,605.07 is: 9,900.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.78 : 19,777.86 = 6,605.07 : x
  2. Step 2: Convert to fraction form
    13,194.78/19,777.86 = 6,605.07/x
  3. Step 3: Cross multiply
    13,194.78x = 19,777.86 × 6,605.07
  4. Step 4: Simplify right side
    13,194.78x = 130,634,149.75
  5. Step 5: Solve for x
    x = 130,634,149.75/13,194.78
  6. Step 6: Final answer
    x = 9,900.44

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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.