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Finding the Fourth Proportional to 2,489.60, 3,739.16 and 2,389.84

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Solution

The fourth proportional to 2,489.60, 3,739.16 and 2,389.84 is: 3,589.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.60 : 3,739.16 = 2,389.84 : x
  2. Step 2: Convert to fraction form
    2,489.60/3,739.16 = 2,389.84/x
  3. Step 3: Cross multiply
    2,489.60x = 3,739.16 × 2,389.84
  4. Step 4: Simplify right side
    2,489.60x = 8,935,994.13
  5. Step 5: Solve for x
    x = 8,935,994.13/2,489.60
  6. Step 6: Final answer
    x = 3,589.33

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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.