Home / 2,127.60-3,190.86-829.08

Finding the Fourth Proportional to 2,127.60, 3,190.86 and 829.08

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Solution

The fourth proportional to 2,127.60, 3,190.86 and 829.08 is: 1,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.60 : 3,190.86 = 829.08 : x
  2. Step 2: Convert to fraction form
    2,127.60/3,190.86 = 829.08/x
  3. Step 3: Cross multiply
    2,127.60x = 3,190.86 × 829.08
  4. Step 4: Simplify right side
    2,127.60x = 2,645,478.21
  5. Step 5: Solve for x
    x = 2,645,478.21/2,127.60
  6. Step 6: Final answer
    x = 1,243.41

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1.5x scale

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.