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Finding the Fourth Proportional to 2,802.74, 3,866.81 and 1,684.04

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Solution

The fourth proportional to 2,802.74, 3,866.81 and 1,684.04 is: 2,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.74 : 3,866.81 = 1,684.04 : x
  2. Step 2: Convert to fraction form
    2,802.74/3,866.81 = 1,684.04/x
  3. Step 3: Cross multiply
    2,802.74x = 3,866.81 × 1,684.04
  4. Step 4: Simplify right side
    2,802.74x = 6,511,834.96
  5. Step 5: Solve for x
    x = 6,511,834.96/2,802.74
  6. Step 6: Final answer
    x = 2,323.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.