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Finding the Fourth Proportional to 6,825.78, 10,219.86 and 5,835.60

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Solution

The fourth proportional to 6,825.78, 10,219.86 and 5,835.60 is: 8,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.78 : 10,219.86 = 5,835.60 : x
  2. Step 2: Convert to fraction form
    6,825.78/10,219.86 = 5,835.60/x
  3. Step 3: Cross multiply
    6,825.78x = 10,219.86 × 5,835.60
  4. Step 4: Simplify right side
    6,825.78x = 59,639,015.02
  5. Step 5: Solve for x
    x = 59,639,015.02/6,825.78
  6. Step 6: Final answer
    x = 8,737.32

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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.