Home / 2,002.60-3,003-1,298.68

Finding the Fourth Proportional to 2,002.60, 3,003 and 1,298.68

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Solution

The fourth proportional to 2,002.60, 3,003 and 1,298.68 is: 1,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.60 : 3,003 = 1,298.68 : x
  2. Step 2: Convert to fraction form
    2,002.60/3,003 = 1,298.68/x
  3. Step 3: Cross multiply
    2,002.60x = 3,003 × 1,298.68
  4. Step 4: Simplify right side
    2,002.60x = 3,899,936.04
  5. Step 5: Solve for x
    x = 3,899,936.04/2,002.60
  6. Step 6: Final answer
    x = 1,947.44

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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.