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Finding the Fourth Proportional to 12,777.64, 19,169.34 and 3,893.76

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Solution

The fourth proportional to 12,777.64, 19,169.34 and 3,893.76 is: 5,841.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.64 : 19,169.34 = 3,893.76 : x
  2. Step 2: Convert to fraction form
    12,777.64/19,169.34 = 3,893.76/x
  3. Step 3: Cross multiply
    12,777.64x = 19,169.34 × 3,893.76
  4. Step 4: Simplify right side
    12,777.64x = 74,640,809.32
  5. Step 5: Solve for x
    x = 74,640,809.32/12,777.64
  6. Step 6: Final answer
    x = 5,841.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.