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Finding the Fourth Proportional to 12,772.64, 19,131.42 and 6,916.88

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Solution

The fourth proportional to 12,772.64, 19,131.42 and 6,916.88 is: 10,360.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.64 : 19,131.42 = 6,916.88 : x
  2. Step 2: Convert to fraction form
    12,772.64/19,131.42 = 6,916.88/x
  3. Step 3: Cross multiply
    12,772.64x = 19,131.42 × 6,916.88
  4. Step 4: Simplify right side
    12,772.64x = 132,329,736.37
  5. Step 5: Solve for x
    x = 132,329,736.37/12,772.64
  6. Step 6: Final answer
    x = 10,360.41

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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.