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Finding the Fourth Proportional to 3,804.92, 5,706.80 and 1,207.52

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Solution

The fourth proportional to 3,804.92, 5,706.80 and 1,207.52 is: 1,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.92 : 5,706.80 = 1,207.52 : x
  2. Step 2: Convert to fraction form
    3,804.92/5,706.80 = 1,207.52/x
  3. Step 3: Cross multiply
    3,804.92x = 5,706.80 × 1,207.52
  4. Step 4: Simplify right side
    3,804.92x = 6,891,075.14
  5. Step 5: Solve for x
    x = 6,891,075.14/3,804.92
  6. Step 6: Final answer
    x = 1,811.10

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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.