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Finding the Fourth Proportional to 6,782.81, 9,361.64 and 4,664.09

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Solution

The fourth proportional to 6,782.81, 9,361.64 and 4,664.09 is: 6,437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.81 : 9,361.64 = 4,664.09 : x
  2. Step 2: Convert to fraction form
    6,782.81/9,361.64 = 4,664.09/x
  3. Step 3: Cross multiply
    6,782.81x = 9,361.64 × 4,664.09
  4. Step 4: Simplify right side
    6,782.81x = 43,663,508.19
  5. Step 5: Solve for x
    x = 43,663,508.19/6,782.81
  6. Step 6: Final answer
    x = 6,437.38

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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.