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Finding the Fourth Proportional to 5,784.64, 8,675.86 and 2,820.11

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Solution

The fourth proportional to 5,784.64, 8,675.86 and 2,820.11 is: 4,229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.64 : 8,675.86 = 2,820.11 : x
  2. Step 2: Convert to fraction form
    5,784.64/8,675.86 = 2,820.11/x
  3. Step 3: Cross multiply
    5,784.64x = 8,675.86 × 2,820.11
  4. Step 4: Simplify right side
    5,784.64x = 24,466,888.49
  5. Step 5: Solve for x
    x = 24,466,888.49/5,784.64
  6. Step 6: Final answer
    x = 4,229.63

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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.