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Finding the Fourth Proportional to 12,144.98, 16,751.12 and 9,160.94

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Solution

The fourth proportional to 12,144.98, 16,751.12 and 9,160.94 is: 12,635.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.98 : 16,751.12 = 9,160.94 : x
  2. Step 2: Convert to fraction form
    12,144.98/16,751.12 = 9,160.94/x
  3. Step 3: Cross multiply
    12,144.98x = 16,751.12 × 9,160.94
  4. Step 4: Simplify right side
    12,144.98x = 153,456,005.25
  5. Step 5: Solve for x
    x = 153,456,005.25/12,144.98
  6. Step 6: Final answer
    x = 12,635.34

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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.