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Finding the Fourth Proportional to 6,866.56, 9,515.74 and 6,735.28

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Solution

The fourth proportional to 6,866.56, 9,515.74 and 6,735.28 is: 9,333.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.56 : 9,515.74 = 6,735.28 : x
  2. Step 2: Convert to fraction form
    6,866.56/9,515.74 = 6,735.28/x
  3. Step 3: Cross multiply
    6,866.56x = 9,515.74 × 6,735.28
  4. Step 4: Simplify right side
    6,866.56x = 64,091,173.31
  5. Step 5: Solve for x
    x = 64,091,173.31/6,866.56
  6. Step 6: Final answer
    x = 9,333.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.