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Finding the Fourth Proportional to 2,702.52, 4,048.74 and 2,123.64

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Solution

The fourth proportional to 2,702.52, 4,048.74 and 2,123.64 is: 3,181.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.52 : 4,048.74 = 2,123.64 : x
  2. Step 2: Convert to fraction form
    2,702.52/4,048.74 = 2,123.64/x
  3. Step 3: Cross multiply
    2,702.52x = 4,048.74 × 2,123.64
  4. Step 4: Simplify right side
    2,702.52x = 8,598,066.21
  5. Step 5: Solve for x
    x = 8,598,066.21/2,702.52
  6. Step 6: Final answer
    x = 3,181.50

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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.