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Finding the Fourth Proportional to 12,734, 19,102.08 and 3,500

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Solution

The fourth proportional to 12,734, 19,102.08 and 3,500 is: 5,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,734 : 19,102.08 = 3,500 : x
  2. Step 2: Convert to fraction form
    12,734/19,102.08 = 3,500/x
  3. Step 3: Cross multiply
    12,734x = 19,102.08 × 3,500
  4. Step 4: Simplify right side
    12,734x = 66,857,280.00
  5. Step 5: Solve for x
    x = 66,857,280.00/12,734
  6. Step 6: Final answer
    x = 5,250.30

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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.