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Finding the Fourth Proportional to 9,765.91, 13,466.87 and 8,354.27

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Solution

The fourth proportional to 9,765.91, 13,466.87 and 8,354.27 is: 11,520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.91 : 13,466.87 = 8,354.27 : x
  2. Step 2: Convert to fraction form
    9,765.91/13,466.87 = 8,354.27/x
  3. Step 3: Cross multiply
    9,765.91x = 13,466.87 × 8,354.27
  4. Step 4: Simplify right side
    9,765.91x = 112,505,826.26
  5. Step 5: Solve for x
    x = 112,505,826.26/9,765.91
  6. Step 6: Final answer
    x = 11,520.27

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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.