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Finding the Fourth Proportional to 5,370.60, 8,072.10 and 4,657.80

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Solution

The fourth proportional to 5,370.60, 8,072.10 and 4,657.80 is: 7,000.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370.60 : 8,072.10 = 4,657.80 : x
  2. Step 2: Convert to fraction form
    5,370.60/8,072.10 = 4,657.80/x
  3. Step 3: Cross multiply
    5,370.60x = 8,072.10 × 4,657.80
  4. Step 4: Simplify right side
    5,370.60x = 37,598,227.38
  5. Step 5: Solve for x
    x = 37,598,227.38/5,370.60
  6. Step 6: Final answer
    x = 7,000.75

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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.