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Finding the Fourth Proportional to 6,986.31, 9,650.91 and 6,355.72

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Solution

The fourth proportional to 6,986.31, 9,650.91 and 6,355.72 is: 8,779.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.31 : 9,650.91 = 6,355.72 : x
  2. Step 2: Convert to fraction form
    6,986.31/9,650.91 = 6,355.72/x
  3. Step 3: Cross multiply
    6,986.31x = 9,650.91 × 6,355.72
  4. Step 4: Simplify right side
    6,986.31x = 61,338,481.71
  5. Step 5: Solve for x
    x = 61,338,481.71/6,986.31
  6. Step 6: Final answer
    x = 8,779.81

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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.