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Finding the Fourth Proportional to 3,489, 4,809.08 and 2,428.31

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Solution

The fourth proportional to 3,489, 4,809.08 and 2,428.31 is: 3,347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489 : 4,809.08 = 2,428.31 : x
  2. Step 2: Convert to fraction form
    3,489/4,809.08 = 2,428.31/x
  3. Step 3: Cross multiply
    3,489x = 4,809.08 × 2,428.31
  4. Step 4: Simplify right side
    3,489x = 11,677,900.87
  5. Step 5: Solve for x
    x = 11,677,900.87/3,489
  6. Step 6: Final answer
    x = 3,347.06

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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.