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Finding the Fourth Proportional to 1,702.70, 2,551.35 and 1,427.30

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Solution

The fourth proportional to 1,702.70, 2,551.35 and 1,427.30 is: 2,138.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.70 : 2,551.35 = 1,427.30 : x
  2. Step 2: Convert to fraction form
    1,702.70/2,551.35 = 1,427.30/x
  3. Step 3: Cross multiply
    1,702.70x = 2,551.35 × 1,427.30
  4. Step 4: Simplify right side
    1,702.70x = 3,641,541.86
  5. Step 5: Solve for x
    x = 3,641,541.86/1,702.70
  6. Step 6: Final answer
    x = 2,138.69

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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.