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Finding the Fourth Proportional to 6,809.50, 9,395.64 and 3,975.58

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Solution

The fourth proportional to 6,809.50, 9,395.64 and 3,975.58 is: 5,485.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.50 : 9,395.64 = 3,975.58 : x
  2. Step 2: Convert to fraction form
    6,809.50/9,395.64 = 3,975.58/x
  3. Step 3: Cross multiply
    6,809.50x = 9,395.64 × 3,975.58
  4. Step 4: Simplify right side
    6,809.50x = 37,353,118.47
  5. Step 5: Solve for x
    x = 37,353,118.47/6,809.50
  6. Step 6: Final answer
    x = 5,485.45

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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.