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Finding the Fourth Proportional to 3,903, 5,384.52 and 2,558.24

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Solution

The fourth proportional to 3,903, 5,384.52 and 2,558.24 is: 3,529.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903 : 5,384.52 = 2,558.24 : x
  2. Step 2: Convert to fraction form
    3,903/5,384.52 = 2,558.24/x
  3. Step 3: Cross multiply
    3,903x = 5,384.52 × 2,558.24
  4. Step 4: Simplify right side
    3,903x = 13,774,894.44
  5. Step 5: Solve for x
    x = 13,774,894.44/3,903
  6. Step 6: Final answer
    x = 3,529.31

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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.