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Finding the Fourth Proportional to 3,507, 5,261.28 and 1,198.56

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Solution

The fourth proportional to 3,507, 5,261.28 and 1,198.56 is: 1,798.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507 : 5,261.28 = 1,198.56 : x
  2. Step 2: Convert to fraction form
    3,507/5,261.28 = 1,198.56/x
  3. Step 3: Cross multiply
    3,507x = 5,261.28 × 1,198.56
  4. Step 4: Simplify right side
    3,507x = 6,305,959.76
  5. Step 5: Solve for x
    x = 6,305,959.76/3,507
  6. Step 6: Final answer
    x = 1,798.11

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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.