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Finding the Fourth Proportional to 6,908.04, 9,531.36 and 5,491.80

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Solution

The fourth proportional to 6,908.04, 9,531.36 and 5,491.80 is: 7,577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.04 : 9,531.36 = 5,491.80 : x
  2. Step 2: Convert to fraction form
    6,908.04/9,531.36 = 5,491.80/x
  3. Step 3: Cross multiply
    6,908.04x = 9,531.36 × 5,491.80
  4. Step 4: Simplify right side
    6,908.04x = 52,344,322.85
  5. Step 5: Solve for x
    x = 52,344,322.85/6,908.04
  6. Step 6: Final answer
    x = 7,577.30

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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.