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Finding the Fourth Proportional to 2,339.90, 3,509.85 and 608.52

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Solution

The fourth proportional to 2,339.90, 3,509.85 and 608.52 is: 912.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.90 : 3,509.85 = 608.52 : x
  2. Step 2: Convert to fraction form
    2,339.90/3,509.85 = 608.52/x
  3. Step 3: Cross multiply
    2,339.90x = 3,509.85 × 608.52
  4. Step 4: Simplify right side
    2,339.90x = 2,135,813.92
  5. Step 5: Solve for x
    x = 2,135,813.92/2,339.90
  6. Step 6: Final answer
    x = 912.78

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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.