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Finding the Fourth Proportional to 13,220.78, 19,826.02 and 6,642.38

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Solution

The fourth proportional to 13,220.78, 19,826.02 and 6,642.38 is: 9,960.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,220.78 : 19,826.02 = 6,642.38 : x
  2. Step 2: Convert to fraction form
    13,220.78/19,826.02 = 6,642.38/x
  3. Step 3: Cross multiply
    13,220.78x = 19,826.02 × 6,642.38
  4. Step 4: Simplify right side
    13,220.78x = 131,691,842.99
  5. Step 5: Solve for x
    x = 131,691,842.99/13,220.78
  6. Step 6: Final answer
    x = 9,960.98

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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.