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Finding the Fourth Proportional to 7,828.92, 10,803.78 and 4,292.46

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Solution

The fourth proportional to 7,828.92, 10,803.78 and 4,292.46 is: 5,923.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.92 : 10,803.78 = 4,292.46 : x
  2. Step 2: Convert to fraction form
    7,828.92/10,803.78 = 4,292.46/x
  3. Step 3: Cross multiply
    7,828.92x = 10,803.78 × 4,292.46
  4. Step 4: Simplify right side
    7,828.92x = 46,374,793.50
  5. Step 5: Solve for x
    x = 46,374,793.50/7,828.92
  6. Step 6: Final answer
    x = 5,923.52

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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.