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Finding the Fourth Proportional to 7,803.52, 11,705.64 and 1,960.20

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Solution

The fourth proportional to 7,803.52, 11,705.64 and 1,960.20 is: 2,940.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.52 : 11,705.64 = 1,960.20 : x
  2. Step 2: Convert to fraction form
    7,803.52/11,705.64 = 1,960.20/x
  3. Step 3: Cross multiply
    7,803.52x = 11,705.64 × 1,960.20
  4. Step 4: Simplify right side
    7,803.52x = 22,945,395.53
  5. Step 5: Solve for x
    x = 22,945,395.53/7,803.52
  6. Step 6: Final answer
    x = 2,940.39

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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.