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Finding the Fourth Proportional to 2,609.40, 3,893.90 and 2,332.50

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Solution

The fourth proportional to 2,609.40, 3,893.90 and 2,332.50 is: 3,480.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.40 : 3,893.90 = 2,332.50 : x
  2. Step 2: Convert to fraction form
    2,609.40/3,893.90 = 2,332.50/x
  3. Step 3: Cross multiply
    2,609.40x = 3,893.90 × 2,332.50
  4. Step 4: Simplify right side
    2,609.40x = 9,082,510.09
  5. Step 5: Solve for x
    x = 9,082,510.09/2,609.40
  6. Step 6: Final answer
    x = 3,480.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.