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Finding the Fourth Proportional to 2,188.63, 3,276.87 and 1,702.63

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Solution

The fourth proportional to 2,188.63, 3,276.87 and 1,702.63 is: 2,549.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.63 : 3,276.87 = 1,702.63 : x
  2. Step 2: Convert to fraction form
    2,188.63/3,276.87 = 1,702.63/x
  3. Step 3: Cross multiply
    2,188.63x = 3,276.87 × 1,702.63
  4. Step 4: Simplify right side
    2,188.63x = 5,579,297.17
  5. Step 5: Solve for x
    x = 5,579,297.17/2,188.63
  6. Step 6: Final answer
    x = 2,549.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.