Home / 2,145.07-3,216.84-828.92

Finding the Fourth Proportional to 2,145.07, 3,216.84 and 828.92

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Solution

The fourth proportional to 2,145.07, 3,216.84 and 828.92 is: 1,243.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.07 : 3,216.84 = 828.92 : x
  2. Step 2: Convert to fraction form
    2,145.07/3,216.84 = 828.92/x
  3. Step 3: Cross multiply
    2,145.07x = 3,216.84 × 828.92
  4. Step 4: Simplify right side
    2,145.07x = 2,666,503.01
  5. Step 5: Solve for x
    x = 2,666,503.01/2,145.07
  6. Step 6: Final answer
    x = 1,243.08

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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.