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Finding the Fourth Proportional to 12,961.78, 17,873.13 and 8,762.74

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Solution

The fourth proportional to 12,961.78, 17,873.13 and 8,762.74 is: 12,083.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.78 : 17,873.13 = 8,762.74 : x
  2. Step 2: Convert to fraction form
    12,961.78/17,873.13 = 8,762.74/x
  3. Step 3: Cross multiply
    12,961.78x = 17,873.13 × 8,762.74
  4. Step 4: Simplify right side
    12,961.78x = 156,617,591.18
  5. Step 5: Solve for x
    x = 156,617,591.18/12,961.78
  6. Step 6: Final answer
    x = 12,083.03

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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.