Home / 2,145.51-3,216.74-828.15

Finding the Fourth Proportional to 2,145.51, 3,216.74 and 828.15

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Solution

The fourth proportional to 2,145.51, 3,216.74 and 828.15 is: 1,241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.51 : 3,216.74 = 828.15 : x
  2. Step 2: Convert to fraction form
    2,145.51/3,216.74 = 828.15/x
  3. Step 3: Cross multiply
    2,145.51x = 3,216.74 × 828.15
  4. Step 4: Simplify right side
    2,145.51x = 2,663,943.23
  5. Step 5: Solve for x
    x = 2,663,943.23/2,145.51
  6. Step 6: Final answer
    x = 1,241.64

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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.