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Finding the Fourth Proportional to 2,509.60, 3,764.40 and 2,290.90

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Solution

The fourth proportional to 2,509.60, 3,764.40 and 2,290.90 is: 3,436.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.60 : 3,764.40 = 2,290.90 : x
  2. Step 2: Convert to fraction form
    2,509.60/3,764.40 = 2,290.90/x
  3. Step 3: Cross multiply
    2,509.60x = 3,764.40 × 2,290.90
  4. Step 4: Simplify right side
    2,509.60x = 8,623,863.96
  5. Step 5: Solve for x
    x = 8,623,863.96/2,509.60
  6. Step 6: Final answer
    x = 3,436.35

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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.