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Finding the Fourth Proportional to 2,600.94, 3,900.49 and 1,214.02

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Solution

The fourth proportional to 2,600.94, 3,900.49 and 1,214.02 is: 1,820.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.94 : 3,900.49 = 1,214.02 : x
  2. Step 2: Convert to fraction form
    2,600.94/3,900.49 = 1,214.02/x
  3. Step 3: Cross multiply
    2,600.94x = 3,900.49 × 1,214.02
  4. Step 4: Simplify right side
    2,600.94x = 4,735,274.71
  5. Step 5: Solve for x
    x = 4,735,274.71/2,600.94
  6. Step 6: Final answer
    x = 1,820.60

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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.