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Finding the Fourth Proportional to 5,285.53, 7,928.60 and 1,998.34

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Solution

The fourth proportional to 5,285.53, 7,928.60 and 1,998.34 is: 2,997.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.53 : 7,928.60 = 1,998.34 : x
  2. Step 2: Convert to fraction form
    5,285.53/7,928.60 = 1,998.34/x
  3. Step 3: Cross multiply
    5,285.53x = 7,928.60 × 1,998.34
  4. Step 4: Simplify right side
    5,285.53x = 15,844,038.52
  5. Step 5: Solve for x
    x = 15,844,038.52/5,285.53
  6. Step 6: Final answer
    x = 2,997.63

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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.