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Finding the Fourth Proportional to 12,149.63, 16,767.68 and 7,113.54

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Solution

The fourth proportional to 12,149.63, 16,767.68 and 7,113.54 is: 9,817.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.63 : 16,767.68 = 7,113.54 : x
  2. Step 2: Convert to fraction form
    12,149.63/16,767.68 = 7,113.54/x
  3. Step 3: Cross multiply
    12,149.63x = 16,767.68 × 7,113.54
  4. Step 4: Simplify right side
    12,149.63x = 119,277,562.39
  5. Step 5: Solve for x
    x = 119,277,562.39/12,149.63
  6. Step 6: Final answer
    x = 9,817.38

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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.