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Finding the Fourth Proportional to 6,804, 10,204.84 and 1,872.32

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Solution

The fourth proportional to 6,804, 10,204.84 and 1,872.32 is: 2,808.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804 : 10,204.84 = 1,872.32 : x
  2. Step 2: Convert to fraction form
    6,804/10,204.84 = 1,872.32/x
  3. Step 3: Cross multiply
    6,804x = 10,204.84 × 1,872.32
  4. Step 4: Simplify right side
    6,804x = 19,106,666.81
  5. Step 5: Solve for x
    x = 19,106,666.81/6,804
  6. Step 6: Final answer
    x = 2,808.15

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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.