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Finding the Fourth Proportional to 2,580.09, 3,869.00 and 1,099.99

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Solution

The fourth proportional to 2,580.09, 3,869.00 and 1,099.99 is: 1,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.09 : 3,869.00 = 1,099.99 : x
  2. Step 2: Convert to fraction form
    2,580.09/3,869.00 = 1,099.99/x
  3. Step 3: Cross multiply
    2,580.09x = 3,869.00 × 1,099.99
  4. Step 4: Simplify right side
    2,580.09x = 4,255,867.89
  5. Step 5: Solve for x
    x = 4,255,867.89/2,580.09
  6. Step 6: Final answer
    x = 1,649.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.