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Finding the Fourth Proportional to 12,755.16, 19,130.58 and 3,519

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Solution

The fourth proportional to 12,755.16, 19,130.58 and 3,519 is: 5,277.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,755.16 : 19,130.58 = 3,519 : x
  2. Step 2: Convert to fraction form
    12,755.16/19,130.58 = 3,519/x
  3. Step 3: Cross multiply
    12,755.16x = 19,130.58 × 3,519
  4. Step 4: Simplify right side
    12,755.16x = 67,320,511.02
  5. Step 5: Solve for x
    x = 67,320,511.02/12,755.16
  6. Step 6: Final answer
    x = 5,277.90

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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.