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Finding the Fourth Proportional to 4,271.61, 6,394.05 and 2,768.61

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Solution

The fourth proportional to 4,271.61, 6,394.05 and 2,768.61 is: 4,144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.61 : 6,394.05 = 2,768.61 : x
  2. Step 2: Convert to fraction form
    4,271.61/6,394.05 = 2,768.61/x
  3. Step 3: Cross multiply
    4,271.61x = 6,394.05 × 2,768.61
  4. Step 4: Simplify right side
    4,271.61x = 17,702,630.77
  5. Step 5: Solve for x
    x = 17,702,630.77/4,271.61
  6. Step 6: Final answer
    x = 4,144.25

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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.