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Finding the Fourth Proportional to 2,684.96, 3,706.80 and 1,754

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Solution

The fourth proportional to 2,684.96, 3,706.80 and 1,754 is: 2,421.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.96 : 3,706.80 = 1,754 : x
  2. Step 2: Convert to fraction form
    2,684.96/3,706.80 = 1,754/x
  3. Step 3: Cross multiply
    2,684.96x = 3,706.80 × 1,754
  4. Step 4: Simplify right side
    2,684.96x = 6,501,727.20
  5. Step 5: Solve for x
    x = 6,501,727.20/2,684.96
  6. Step 6: Final answer
    x = 2,421.54

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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.