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Finding the Fourth Proportional to 6,998.16, 9,664.61 and 6,398.36

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Solution

The fourth proportional to 6,998.16, 9,664.61 and 6,398.36 is: 8,836.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.16 : 9,664.61 = 6,398.36 : x
  2. Step 2: Convert to fraction form
    6,998.16/9,664.61 = 6,398.36/x
  3. Step 3: Cross multiply
    6,998.16x = 9,664.61 × 6,398.36
  4. Step 4: Simplify right side
    6,998.16x = 61,837,573.72
  5. Step 5: Solve for x
    x = 61,837,573.72/6,998.16
  6. Step 6: Final answer
    x = 8,836.26

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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.