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Finding the Fourth Proportional to 6,885, 9,496.98 and 5,491.08

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Solution

The fourth proportional to 6,885, 9,496.98 and 5,491.08 is: 7,574.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885 : 9,496.98 = 5,491.08 : x
  2. Step 2: Convert to fraction form
    6,885/9,496.98 = 5,491.08/x
  3. Step 3: Cross multiply
    6,885x = 9,496.98 × 5,491.08
  4. Step 4: Simplify right side
    6,885x = 52,148,676.94
  5. Step 5: Solve for x
    x = 52,148,676.94/6,885
  6. Step 6: Final answer
    x = 7,574.25

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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.