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Finding the Fourth Proportional to 1,999.53, 3,000.84 and 1,306.02

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Solution

The fourth proportional to 1,999.53, 3,000.84 and 1,306.02 is: 1,960.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.53 : 3,000.84 = 1,306.02 : x
  2. Step 2: Convert to fraction form
    1,999.53/3,000.84 = 1,306.02/x
  3. Step 3: Cross multiply
    1,999.53x = 3,000.84 × 1,306.02
  4. Step 4: Simplify right side
    1,999.53x = 3,919,157.06
  5. Step 5: Solve for x
    x = 3,919,157.06/1,999.53
  6. Step 6: Final answer
    x = 1,960.04

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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.