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Finding the Fourth Proportional to 9,826.20, 14,698.80 and 8,961.12

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Solution

The fourth proportional to 9,826.20, 14,698.80 and 8,961.12 is: 13,404.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.20 : 14,698.80 = 8,961.12 : x
  2. Step 2: Convert to fraction form
    9,826.20/14,698.80 = 8,961.12/x
  3. Step 3: Cross multiply
    9,826.20x = 14,698.80 × 8,961.12
  4. Step 4: Simplify right side
    9,826.20x = 131,717,710.66
  5. Step 5: Solve for x
    x = 131,717,710.66/9,826.20
  6. Step 6: Final answer
    x = 13,404.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.