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Finding the Fourth Proportional to 3,320.63, 4,980.95 and 855.46

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Solution

The fourth proportional to 3,320.63, 4,980.95 and 855.46 is: 1,283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,320.63 : 4,980.95 = 855.46 : x
  2. Step 2: Convert to fraction form
    3,320.63/4,980.95 = 855.46/x
  3. Step 3: Cross multiply
    3,320.63x = 4,980.95 × 855.46
  4. Step 4: Simplify right side
    3,320.63x = 4,261,003.49
  5. Step 5: Solve for x
    x = 4,261,003.49/3,320.63
  6. Step 6: Final answer
    x = 1,283.19

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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.