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Finding the Fourth Proportional to 6,448.69, 9,689.64 and 6,268.06

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Solution

The fourth proportional to 6,448.69, 9,689.64 and 6,268.06 is: 9,418.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.69 : 9,689.64 = 6,268.06 : x
  2. Step 2: Convert to fraction form
    6,448.69/9,689.64 = 6,268.06/x
  3. Step 3: Cross multiply
    6,448.69x = 9,689.64 × 6,268.06
  4. Step 4: Simplify right side
    6,448.69x = 60,735,244.90
  5. Step 5: Solve for x
    x = 60,735,244.90/6,448.69
  6. Step 6: Final answer
    x = 9,418.23

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1.5x scale

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.