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Finding the Fourth Proportional to 2,120.01, 3,179.65 and 560.03

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Solution

The fourth proportional to 2,120.01, 3,179.65 and 560.03 is: 839.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.01 : 3,179.65 = 560.03 : x
  2. Step 2: Convert to fraction form
    2,120.01/3,179.65 = 560.03/x
  3. Step 3: Cross multiply
    2,120.01x = 3,179.65 × 560.03
  4. Step 4: Simplify right side
    2,120.01x = 1,780,699.39
  5. Step 5: Solve for x
    x = 1,780,699.39/2,120.01
  6. Step 6: Final answer
    x = 839.95

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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.