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Finding the Fourth Proportional to 6,811.40, 9,404.98 and 5,491.00

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Solution

The fourth proportional to 6,811.40, 9,404.98 and 5,491.00 is: 7,581.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.40 : 9,404.98 = 5,491.00 : x
  2. Step 2: Convert to fraction form
    6,811.40/9,404.98 = 5,491.00/x
  3. Step 3: Cross multiply
    6,811.40x = 9,404.98 × 5,491.00
  4. Step 4: Simplify right side
    6,811.40x = 51,642,670.70
  5. Step 5: Solve for x
    x = 51,642,670.70/6,811.40
  6. Step 6: Final answer
    x = 7,581.81

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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.