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Finding the Fourth Proportional to 4,300, 6,450.31 and 1,702.94

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Solution

The fourth proportional to 4,300, 6,450.31 and 1,702.94 is: 2,554.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,300 : 6,450.31 = 1,702.94 : x
  2. Step 2: Convert to fraction form
    4,300/6,450.31 = 1,702.94/x
  3. Step 3: Cross multiply
    4,300x = 6,450.31 × 1,702.94
  4. Step 4: Simplify right side
    4,300x = 10,984,466.27
  5. Step 5: Solve for x
    x = 10,984,466.27/4,300
  6. Step 6: Final answer
    x = 2,554.53

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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.