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Finding the Fourth Proportional to 6,999.94, 10,448.69 and 6,169.60

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Solution

The fourth proportional to 6,999.94, 10,448.69 and 6,169.60 is: 9,209.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.94 : 10,448.69 = 6,169.60 : x
  2. Step 2: Convert to fraction form
    6,999.94/10,448.69 = 6,169.60/x
  3. Step 3: Cross multiply
    6,999.94x = 10,448.69 × 6,169.60
  4. Step 4: Simplify right side
    6,999.94x = 64,464,237.82
  5. Step 5: Solve for x
    x = 64,464,237.82/6,999.94
  6. Step 6: Final answer
    x = 9,209.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.