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Finding the Fourth Proportional to 2,605.67, 3,585.97 and 2,072.79

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Solution

The fourth proportional to 2,605.67, 3,585.97 and 2,072.79 is: 2,852.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.67 : 3,585.97 = 2,072.79 : x
  2. Step 2: Convert to fraction form
    2,605.67/3,585.97 = 2,072.79/x
  3. Step 3: Cross multiply
    2,605.67x = 3,585.97 × 2,072.79
  4. Step 4: Simplify right side
    2,605.67x = 7,432,965.35
  5. Step 5: Solve for x
    x = 7,432,965.35/2,605.67
  6. Step 6: Final answer
    x = 2,852.61

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1.5x scale

Why These Related Problems?

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