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Finding the Fourth Proportional to 2,509.55, 3,463.43 and 1,447.64

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Solution

The fourth proportional to 2,509.55, 3,463.43 and 1,447.64 is: 1,997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.55 : 3,463.43 = 1,447.64 : x
  2. Step 2: Convert to fraction form
    2,509.55/3,463.43 = 1,447.64/x
  3. Step 3: Cross multiply
    2,509.55x = 3,463.43 × 1,447.64
  4. Step 4: Simplify right side
    2,509.55x = 5,013,799.81
  5. Step 5: Solve for x
    x = 5,013,799.81/2,509.55
  6. Step 6: Final answer
    x = 1,997.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.