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Finding the Fourth Proportional to 2,361.56, 3,543.02 and 1,129.01

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Solution

The fourth proportional to 2,361.56, 3,543.02 and 1,129.01 is: 1,693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.56 : 3,543.02 = 1,129.01 : x
  2. Step 2: Convert to fraction form
    2,361.56/3,543.02 = 1,129.01/x
  3. Step 3: Cross multiply
    2,361.56x = 3,543.02 × 1,129.01
  4. Step 4: Simplify right side
    2,361.56x = 4,000,081.65
  5. Step 5: Solve for x
    x = 4,000,081.65/2,361.56
  6. Step 6: Final answer
    x = 1,693.83

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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.