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Finding the Fourth Proportional to 2,802.77, 3,869.38 and 1,683.99

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Solution

The fourth proportional to 2,802.77, 3,869.38 and 1,683.99 is: 2,324.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.77 : 3,869.38 = 1,683.99 : x
  2. Step 2: Convert to fraction form
    2,802.77/3,869.38 = 1,683.99/x
  3. Step 3: Cross multiply
    2,802.77x = 3,869.38 × 1,683.99
  4. Step 4: Simplify right side
    2,802.77x = 6,515,999.33
  5. Step 5: Solve for x
    x = 6,515,999.33/2,802.77
  6. Step 6: Final answer
    x = 2,324.84

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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.