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Finding the Fourth Proportional to 3,456, 5,186.16 and 1,265.76

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Solution

The fourth proportional to 3,456, 5,186.16 and 1,265.76 is: 1,899.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456 : 5,186.16 = 1,265.76 : x
  2. Step 2: Convert to fraction form
    3,456/5,186.16 = 1,265.76/x
  3. Step 3: Cross multiply
    3,456x = 5,186.16 × 1,265.76
  4. Step 4: Simplify right side
    3,456x = 6,564,433.88
  5. Step 5: Solve for x
    x = 6,564,433.88/3,456
  6. Step 6: Final answer
    x = 1,899.43

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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.