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Finding the Fourth Proportional to 22,342, 30,824.40 and 12,907.12

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Solution

The fourth proportional to 22,342, 30,824.40 and 12,907.12 is: 17,807.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,342 : 30,824.40 = 12,907.12 : x
  2. Step 2: Convert to fraction form
    22,342/30,824.40 = 12,907.12/x
  3. Step 3: Cross multiply
    22,342x = 30,824.40 × 12,907.12
  4. Step 4: Simplify right side
    22,342x = 397,854,229.73
  5. Step 5: Solve for x
    x = 397,854,229.73/22,342
  6. Step 6: Final answer
    x = 17,807.46

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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.