Home / 2,102.08-3,141.02-1,447.60

Finding the Fourth Proportional to 2,102.08, 3,141.02 and 1,447.60

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Solution

The fourth proportional to 2,102.08, 3,141.02 and 1,447.60 is: 2,163.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.08 : 3,141.02 = 1,447.60 : x
  2. Step 2: Convert to fraction form
    2,102.08/3,141.02 = 1,447.60/x
  3. Step 3: Cross multiply
    2,102.08x = 3,141.02 × 1,447.60
  4. Step 4: Simplify right side
    2,102.08x = 4,546,940.55
  5. Step 5: Solve for x
    x = 4,546,940.55/2,102.08
  6. Step 6: Final answer
    x = 2,163.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.