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Finding the Fourth Proportional to 2,397.96, 3,591.96 and 1,421.64

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Solution

The fourth proportional to 2,397.96, 3,591.96 and 1,421.64 is: 2,129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.96 : 3,591.96 = 1,421.64 : x
  2. Step 2: Convert to fraction form
    2,397.96/3,591.96 = 1,421.64/x
  3. Step 3: Cross multiply
    2,397.96x = 3,591.96 × 1,421.64
  4. Step 4: Simplify right side
    2,397.96x = 5,106,474.01
  5. Step 5: Solve for x
    x = 5,106,474.01/2,397.96
  6. Step 6: Final answer
    x = 2,129.51

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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.