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Finding the Fourth Proportional to 3,447, 5,170.56 and 1,395

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Solution

The fourth proportional to 3,447, 5,170.56 and 1,395 is: 2,092.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447 : 5,170.56 = 1,395 : x
  2. Step 2: Convert to fraction form
    3,447/5,170.56 = 1,395/x
  3. Step 3: Cross multiply
    3,447x = 5,170.56 × 1,395
  4. Step 4: Simplify right side
    3,447x = 7,212,931.20
  5. Step 5: Solve for x
    x = 7,212,931.20/3,447
  6. Step 6: Final answer
    x = 2,092.52

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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.