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Finding the Fourth Proportional to 2,169.83, 3,254.73 and 609.99

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Solution

The fourth proportional to 2,169.83, 3,254.73 and 609.99 is: 914.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.83 : 3,254.73 = 609.99 : x
  2. Step 2: Convert to fraction form
    2,169.83/3,254.73 = 609.99/x
  3. Step 3: Cross multiply
    2,169.83x = 3,254.73 × 609.99
  4. Step 4: Simplify right side
    2,169.83x = 1,985,352.75
  5. Step 5: Solve for x
    x = 1,985,352.75/2,169.83
  6. Step 6: Final answer
    x = 914.98

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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.