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Finding the Fourth Proportional to 12,967.78, 17,881.40 and 8,768.74

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Solution

The fourth proportional to 12,967.78, 17,881.40 and 8,768.74 is: 12,091.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.78 : 17,881.40 = 8,768.74 : x
  2. Step 2: Convert to fraction form
    12,967.78/17,881.40 = 8,768.74/x
  3. Step 3: Cross multiply
    12,967.78x = 17,881.40 × 8,768.74
  4. Step 4: Simplify right side
    12,967.78x = 156,797,347.44
  5. Step 5: Solve for x
    x = 156,797,347.44/12,967.78
  6. Step 6: Final answer
    x = 12,091.30

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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.