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Finding the Fourth Proportional to 12,758.95, 19,142.07 and 4,863.88

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Solution

The fourth proportional to 12,758.95, 19,142.07 and 4,863.88 is: 7,297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.95 : 19,142.07 = 4,863.88 : x
  2. Step 2: Convert to fraction form
    12,758.95/19,142.07 = 4,863.88/x
  3. Step 3: Cross multiply
    12,758.95x = 19,142.07 × 4,863.88
  4. Step 4: Simplify right side
    12,758.95x = 93,104,731.43
  5. Step 5: Solve for x
    x = 93,104,731.43/12,758.95
  6. Step 6: Final answer
    x = 7,297.21

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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.