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Finding the Fourth Proportional to 2,558.51, 3,837.98 and 709.62

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Solution

The fourth proportional to 2,558.51, 3,837.98 and 709.62 is: 1,064.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.51 : 3,837.98 = 709.62 : x
  2. Step 2: Convert to fraction form
    2,558.51/3,837.98 = 709.62/x
  3. Step 3: Cross multiply
    2,558.51x = 3,837.98 × 709.62
  4. Step 4: Simplify right side
    2,558.51x = 2,723,503.82
  5. Step 5: Solve for x
    x = 2,723,503.82/2,558.51
  6. Step 6: Final answer
    x = 1,064.49

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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.