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Finding the Fourth Proportional to 5,260.56, 7,890.90 and 2,489.40

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Solution

The fourth proportional to 5,260.56, 7,890.90 and 2,489.40 is: 3,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.56 : 7,890.90 = 2,489.40 : x
  2. Step 2: Convert to fraction form
    5,260.56/7,890.90 = 2,489.40/x
  3. Step 3: Cross multiply
    5,260.56x = 7,890.90 × 2,489.40
  4. Step 4: Simplify right side
    5,260.56x = 19,643,606.46
  5. Step 5: Solve for x
    x = 19,643,606.46/5,260.56
  6. Step 6: Final answer
    x = 3,734.13

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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.