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Finding the Fourth Proportional to 13,112.69, 19,658.70 and 6,535.49

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Solution

The fourth proportional to 13,112.69, 19,658.70 and 6,535.49 is: 9,798.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,112.69 : 19,658.70 = 6,535.49 : x
  2. Step 2: Convert to fraction form
    13,112.69/19,658.70 = 6,535.49/x
  3. Step 3: Cross multiply
    13,112.69x = 19,658.70 × 6,535.49
  4. Step 4: Simplify right side
    13,112.69x = 128,479,138.97
  5. Step 5: Solve for x
    x = 128,479,138.97/13,112.69
  6. Step 6: Final answer
    x = 9,798.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.