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Finding the Fourth Proportional to 3,321.61, 4,983.05 and 1,130.49

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Solution

The fourth proportional to 3,321.61, 4,983.05 and 1,130.49 is: 1,695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.61 : 4,983.05 = 1,130.49 : x
  2. Step 2: Convert to fraction form
    3,321.61/4,983.05 = 1,130.49/x
  3. Step 3: Cross multiply
    3,321.61x = 4,983.05 × 1,130.49
  4. Step 4: Simplify right side
    3,321.61x = 5,633,291.02
  5. Step 5: Solve for x
    x = 5,633,291.02/3,321.61
  6. Step 6: Final answer
    x = 1,695.95

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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.