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Finding the Fourth Proportional to 3,219.86, 4,829.06 and 1,574.76

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Solution

The fourth proportional to 3,219.86, 4,829.06 and 1,574.76 is: 2,361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.86 : 4,829.06 = 1,574.76 : x
  2. Step 2: Convert to fraction form
    3,219.86/4,829.06 = 1,574.76/x
  3. Step 3: Cross multiply
    3,219.86x = 4,829.06 × 1,574.76
  4. Step 4: Simplify right side
    3,219.86x = 7,604,610.53
  5. Step 5: Solve for x
    x = 7,604,610.53/3,219.86
  6. Step 6: Final answer
    x = 2,361.78

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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.