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Finding the Fourth Proportional to 5,285.72, 7,926.24 and 2,820.08

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Solution

The fourth proportional to 5,285.72, 7,926.24 and 2,820.08 is: 4,228.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.72 : 7,926.24 = 2,820.08 : x
  2. Step 2: Convert to fraction form
    5,285.72/7,926.24 = 2,820.08/x
  3. Step 3: Cross multiply
    5,285.72x = 7,926.24 × 2,820.08
  4. Step 4: Simplify right side
    5,285.72x = 22,352,630.90
  5. Step 5: Solve for x
    x = 22,352,630.90/5,285.72
  6. Step 6: Final answer
    x = 4,228.87

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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.