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Finding the Fourth Proportional to 6,705.50, 9,253.75 and 3,761.50

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Solution

The fourth proportional to 6,705.50, 9,253.75 and 3,761.50 is: 5,190.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.50 : 9,253.75 = 3,761.50 : x
  2. Step 2: Convert to fraction form
    6,705.50/9,253.75 = 3,761.50/x
  3. Step 3: Cross multiply
    6,705.50x = 9,253.75 × 3,761.50
  4. Step 4: Simplify right side
    6,705.50x = 34,807,980.63
  5. Step 5: Solve for x
    x = 34,807,980.63/6,705.50
  6. Step 6: Final answer
    x = 5,190.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.