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Finding the Fourth Proportional to 6,811.04, 9,400.40 and 3,978.75

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Solution

The fourth proportional to 6,811.04, 9,400.40 and 3,978.75 is: 5,491.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.04 : 9,400.40 = 3,978.75 : x
  2. Step 2: Convert to fraction form
    6,811.04/9,400.40 = 3,978.75/x
  3. Step 3: Cross multiply
    6,811.04x = 9,400.40 × 3,978.75
  4. Step 4: Simplify right side
    6,811.04x = 37,401,801.28
  5. Step 5: Solve for x
    x = 37,401,801.28/6,811.04
  6. Step 6: Final answer
    x = 5,491.35

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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.