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Finding the Fourth Proportional to 12,141.15, 16,745.19 and 7,948.59

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Solution

The fourth proportional to 12,141.15, 16,745.19 and 7,948.59 is: 10,962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.15 : 16,745.19 = 7,948.59 : x
  2. Step 2: Convert to fraction form
    12,141.15/16,745.19 = 7,948.59/x
  3. Step 3: Cross multiply
    12,141.15x = 16,745.19 × 7,948.59
  4. Step 4: Simplify right side
    12,141.15x = 133,100,649.78
  5. Step 5: Solve for x
    x = 133,100,649.78/12,141.15
  6. Step 6: Final answer
    x = 10,962.77

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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.