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Finding the Fourth Proportional to 2,673.81, 3,688.74 and 2,083.32

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Solution

The fourth proportional to 2,673.81, 3,688.74 and 2,083.32 is: 2,874.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.81 : 3,688.74 = 2,083.32 : x
  2. Step 2: Convert to fraction form
    2,673.81/3,688.74 = 2,083.32/x
  3. Step 3: Cross multiply
    2,673.81x = 3,688.74 × 2,083.32
  4. Step 4: Simplify right side
    2,673.81x = 7,684,825.82
  5. Step 5: Solve for x
    x = 7,684,825.82/2,673.81
  6. Step 6: Final answer
    x = 2,874.11

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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.