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Finding the Fourth Proportional to 2,604.71, 3,590.80 and 1,609.43

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Solution

The fourth proportional to 2,604.71, 3,590.80 and 1,609.43 is: 2,218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.71 : 3,590.80 = 1,609.43 : x
  2. Step 2: Convert to fraction form
    2,604.71/3,590.80 = 1,609.43/x
  3. Step 3: Cross multiply
    2,604.71x = 3,590.80 × 1,609.43
  4. Step 4: Simplify right side
    2,604.71x = 5,779,119.27
  5. Step 5: Solve for x
    x = 5,779,119.27/2,604.71
  6. Step 6: Final answer
    x = 2,218.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.