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Finding the Fourth Proportional to 7,803.66, 11,705.13 and 2,872.95

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Solution

The fourth proportional to 7,803.66, 11,705.13 and 2,872.95 is: 4,309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.66 : 11,705.13 = 2,872.95 : x
  2. Step 2: Convert to fraction form
    7,803.66/11,705.13 = 2,872.95/x
  3. Step 3: Cross multiply
    7,803.66x = 11,705.13 × 2,872.95
  4. Step 4: Simplify right side
    7,803.66x = 33,628,253.23
  5. Step 5: Solve for x
    x = 33,628,253.23/7,803.66
  6. Step 6: Final answer
    x = 4,309.29

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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.