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Finding the Fourth Proportional to 13,851.98, 19,115.19 and 7,802.09

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Solution

The fourth proportional to 13,851.98, 19,115.19 and 7,802.09 is: 10,766.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.98 : 19,115.19 = 7,802.09 : x
  2. Step 2: Convert to fraction form
    13,851.98/19,115.19 = 7,802.09/x
  3. Step 3: Cross multiply
    13,851.98x = 19,115.19 × 7,802.09
  4. Step 4: Simplify right side
    13,851.98x = 149,138,408.85
  5. Step 5: Solve for x
    x = 149,138,408.85/13,851.98
  6. Step 6: Final answer
    x = 10,766.58

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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.