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Finding the Fourth Proportional to 12,772.41, 19,278.58 and 12,772.41

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Solution

The fourth proportional to 12,772.41, 19,278.58 and 12,772.41 is: 19,278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.41 : 19,278.58 = 12,772.41 : x
  2. Step 2: Convert to fraction form
    12,772.41/19,278.58 = 12,772.41/x
  3. Step 3: Cross multiply
    12,772.41x = 19,278.58 × 12,772.41
  4. Step 4: Simplify right side
    12,772.41x = 246,233,799.80
  5. Step 5: Solve for x
    x = 246,233,799.80/12,772.41
  6. Step 6: Final answer
    x = 19,278.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.