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Finding the Fourth Proportional to 6,750.50, 9,316.59 and 3,956

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Solution

The fourth proportional to 6,750.50, 9,316.59 and 3,956 is: 5,459.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750.50 : 9,316.59 = 3,956 : x
  2. Step 2: Convert to fraction form
    6,750.50/9,316.59 = 3,956/x
  3. Step 3: Cross multiply
    6,750.50x = 9,316.59 × 3,956
  4. Step 4: Simplify right side
    6,750.50x = 36,856,430.04
  5. Step 5: Solve for x
    x = 36,856,430.04/6,750.50
  6. Step 6: Final answer
    x = 5,459.81

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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.