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Finding the Fourth Proportional to 12,843.67, 19,265.51 and 5,442.94

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Solution

The fourth proportional to 12,843.67, 19,265.51 and 5,442.94 is: 8,164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.67 : 19,265.51 = 5,442.94 : x
  2. Step 2: Convert to fraction form
    12,843.67/19,265.51 = 5,442.94/x
  3. Step 3: Cross multiply
    12,843.67x = 19,265.51 × 5,442.94
  4. Step 4: Simplify right side
    12,843.67x = 104,860,968.48
  5. Step 5: Solve for x
    x = 104,860,968.48/12,843.67
  6. Step 6: Final answer
    x = 8,164.41

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1.5x scale

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.