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Finding the Fourth Proportional to 7,838.66, 10,816.44 and 4,650.80

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Solution

The fourth proportional to 7,838.66, 10,816.44 and 4,650.80 is: 6,417.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.66 : 10,816.44 = 4,650.80 : x
  2. Step 2: Convert to fraction form
    7,838.66/10,816.44 = 4,650.80/x
  3. Step 3: Cross multiply
    7,838.66x = 10,816.44 × 4,650.80
  4. Step 4: Simplify right side
    7,838.66x = 50,305,099.15
  5. Step 5: Solve for x
    x = 50,305,099.15/7,838.66
  6. Step 6: Final answer
    x = 6,417.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.