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Finding the Fourth Proportional to 2,682.80, 3,702.72 and 1,688.48

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Solution

The fourth proportional to 2,682.80, 3,702.72 and 1,688.48 is: 2,330.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.80 : 3,702.72 = 1,688.48 : x
  2. Step 2: Convert to fraction form
    2,682.80/3,702.72 = 1,688.48/x
  3. Step 3: Cross multiply
    2,682.80x = 3,702.72 × 1,688.48
  4. Step 4: Simplify right side
    2,682.80x = 6,251,968.67
  5. Step 5: Solve for x
    x = 6,251,968.67/2,682.80
  6. Step 6: Final answer
    x = 2,330.39

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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.