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Finding the Fourth Proportional to 2,684.98, 3,707 and 2,188.81

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Solution

The fourth proportional to 2,684.98, 3,707 and 2,188.81 is: 3,021.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.98 : 3,707 = 2,188.81 : x
  2. Step 2: Convert to fraction form
    2,684.98/3,707 = 2,188.81/x
  3. Step 3: Cross multiply
    2,684.98x = 3,707 × 2,188.81
  4. Step 4: Simplify right side
    2,684.98x = 8,113,918.67
  5. Step 5: Solve for x
    x = 8,113,918.67/2,684.98
  6. Step 6: Final answer
    x = 3,021.97

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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.