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Finding the Fourth Proportional to 13,821.22, 19,073.22 and 7,851.70

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Solution

The fourth proportional to 13,821.22, 19,073.22 and 7,851.70 is: 10,835.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.22 : 19,073.22 = 7,851.70 : x
  2. Step 2: Convert to fraction form
    13,821.22/19,073.22 = 7,851.70/x
  3. Step 3: Cross multiply
    13,821.22x = 19,073.22 × 7,851.70
  4. Step 4: Simplify right side
    13,821.22x = 149,757,201.47
  5. Step 5: Solve for x
    x = 149,757,201.47/13,821.22
  6. Step 6: Final answer
    x = 10,835.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.