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Finding the Fourth Proportional to 12,144.44, 16,754.46 and 7,420.52

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Solution

The fourth proportional to 12,144.44, 16,754.46 and 7,420.52 is: 10,237.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.44 : 16,754.46 = 7,420.52 : x
  2. Step 2: Convert to fraction form
    12,144.44/16,754.46 = 7,420.52/x
  3. Step 3: Cross multiply
    12,144.44x = 16,754.46 × 7,420.52
  4. Step 4: Simplify right side
    12,144.44x = 124,326,805.52
  5. Step 5: Solve for x
    x = 124,326,805.52/12,144.44
  6. Step 6: Final answer
    x = 10,237.34

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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.