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Finding the Fourth Proportional to 6,779.36, 9,355.25 and 3,946.82

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Solution

The fourth proportional to 6,779.36, 9,355.25 and 3,946.82 is: 5,446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,779.36 : 9,355.25 = 3,946.82 : x
  2. Step 2: Convert to fraction form
    6,779.36/9,355.25 = 3,946.82/x
  3. Step 3: Cross multiply
    6,779.36x = 9,355.25 × 3,946.82
  4. Step 4: Simplify right side
    6,779.36x = 36,923,455.01
  5. Step 5: Solve for x
    x = 36,923,455.01/6,779.36
  6. Step 6: Final answer
    x = 5,446.45

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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.