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Finding the Fourth Proportional to 14,235, 19,644.39 and 7,947.42

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Solution

The fourth proportional to 14,235, 19,644.39 and 7,947.42 is: 10,967.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,235 : 19,644.39 = 7,947.42 : x
  2. Step 2: Convert to fraction form
    14,235/19,644.39 = 7,947.42/x
  3. Step 3: Cross multiply
    14,235x = 19,644.39 × 7,947.42
  4. Step 4: Simplify right side
    14,235x = 156,122,217.97
  5. Step 5: Solve for x
    x = 156,122,217.97/14,235
  6. Step 6: Final answer
    x = 10,967.49

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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.