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Finding the Fourth Proportional to 2,820.32, 4,230.84 and 872.64

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Solution

The fourth proportional to 2,820.32, 4,230.84 and 872.64 is: 1,309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.32 : 4,230.84 = 872.64 : x
  2. Step 2: Convert to fraction form
    2,820.32/4,230.84 = 872.64/x
  3. Step 3: Cross multiply
    2,820.32x = 4,230.84 × 872.64
  4. Step 4: Simplify right side
    2,820.32x = 3,692,000.22
  5. Step 5: Solve for x
    x = 3,692,000.22/2,820.32
  6. Step 6: Final answer
    x = 1,309.07

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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.