Home / 2,447.28-3,671.44-1,148

Finding the Fourth Proportional to 2,447.28, 3,671.44 and 1,148

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Solution

The fourth proportional to 2,447.28, 3,671.44 and 1,148 is: 1,722.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.28 : 3,671.44 = 1,148 : x
  2. Step 2: Convert to fraction form
    2,447.28/3,671.44 = 1,148/x
  3. Step 3: Cross multiply
    2,447.28x = 3,671.44 × 1,148
  4. Step 4: Simplify right side
    2,447.28x = 4,214,813.12
  5. Step 5: Solve for x
    x = 4,214,813.12/2,447.28
  6. Step 6: Final answer
    x = 1,722.24

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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.