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Finding the Fourth Proportional to 2,593.81, 3,580.23 and 2,243.50

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Solution

The fourth proportional to 2,593.81, 3,580.23 and 2,243.50 is: 3,096.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.81 : 3,580.23 = 2,243.50 : x
  2. Step 2: Convert to fraction form
    2,593.81/3,580.23 = 2,243.50/x
  3. Step 3: Cross multiply
    2,593.81x = 3,580.23 × 2,243.50
  4. Step 4: Simplify right side
    2,593.81x = 8,032,234.79
  5. Step 5: Solve for x
    x = 8,032,234.79/2,593.81
  6. Step 6: Final answer
    x = 3,096.69

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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.