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Finding the Fourth Proportional to 13,129.70, 19,698.19 and 7,290.41

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Solution

The fourth proportional to 13,129.70, 19,698.19 and 7,290.41 is: 10,937.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.70 : 19,698.19 = 7,290.41 : x
  2. Step 2: Convert to fraction form
    13,129.70/19,698.19 = 7,290.41/x
  3. Step 3: Cross multiply
    13,129.70x = 19,698.19 × 7,290.41
  4. Step 4: Simplify right side
    13,129.70x = 143,607,764.64
  5. Step 5: Solve for x
    x = 143,607,764.64/13,129.70
  6. Step 6: Final answer
    x = 10,937.63

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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.