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Finding the Fourth Proportional to 5,285.72, 7,929.30 and 1,998.20

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Solution

The fourth proportional to 5,285.72, 7,929.30 and 1,998.20 is: 2,997.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.72 : 7,929.30 = 1,998.20 : x
  2. Step 2: Convert to fraction form
    5,285.72/7,929.30 = 1,998.20/x
  3. Step 3: Cross multiply
    5,285.72x = 7,929.30 × 1,998.20
  4. Step 4: Simplify right side
    5,285.72x = 15,844,327.26
  5. Step 5: Solve for x
    x = 15,844,327.26/5,285.72
  6. Step 6: Final answer
    x = 2,997.57

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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.