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Finding the Fourth Proportional to 2,605.79, 3,596.99 and 1,722.80

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Solution

The fourth proportional to 2,605.79, 3,596.99 and 1,722.80 is: 2,378.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.79 : 3,596.99 = 1,722.80 : x
  2. Step 2: Convert to fraction form
    2,605.79/3,596.99 = 1,722.80/x
  3. Step 3: Cross multiply
    2,605.79x = 3,596.99 × 1,722.80
  4. Step 4: Simplify right side
    2,605.79x = 6,196,894.75
  5. Step 5: Solve for x
    x = 6,196,894.75/2,605.79
  6. Step 6: Final answer
    x = 2,378.12

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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.