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Finding the Fourth Proportional to 2,709.51, 4,064.76 and 1,229.43

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Solution

The fourth proportional to 2,709.51, 4,064.76 and 1,229.43 is: 1,844.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.51 : 4,064.76 = 1,229.43 : x
  2. Step 2: Convert to fraction form
    2,709.51/4,064.76 = 1,229.43/x
  3. Step 3: Cross multiply
    2,709.51x = 4,064.76 × 1,229.43
  4. Step 4: Simplify right side
    2,709.51x = 4,997,337.89
  5. Step 5: Solve for x
    x = 4,997,337.89/2,709.51
  6. Step 6: Final answer
    x = 1,844.37

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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.