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Finding the Fourth Proportional to 19,937.75, 29,911.81 and 7,458.74

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Solution

The fourth proportional to 19,937.75, 29,911.81 and 7,458.74 is: 11,190.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,937.75 : 29,911.81 = 7,458.74 : x
  2. Step 2: Convert to fraction form
    19,937.75/29,911.81 = 7,458.74/x
  3. Step 3: Cross multiply
    19,937.75x = 29,911.81 × 7,458.74
  4. Step 4: Simplify right side
    19,937.75x = 223,104,371.72
  5. Step 5: Solve for x
    x = 223,104,371.72/19,937.75
  6. Step 6: Final answer
    x = 11,190.05

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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.