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Finding the Fourth Proportional to 7,803.75, 11,705.32 and 4,300.70

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Solution

The fourth proportional to 7,803.75, 11,705.32 and 4,300.70 is: 6,450.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.75 : 11,705.32 = 4,300.70 : x
  2. Step 2: Convert to fraction form
    7,803.75/11,705.32 = 4,300.70/x
  3. Step 3: Cross multiply
    7,803.75x = 11,705.32 × 4,300.70
  4. Step 4: Simplify right side
    7,803.75x = 50,341,092.12
  5. Step 5: Solve for x
    x = 50,341,092.12/7,803.75
  6. Step 6: Final answer
    x = 6,450.88

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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.