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Finding the Fourth Proportional to 9,899.12, 13,659 and 8,582.96

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Solution

The fourth proportional to 9,899.12, 13,659 and 8,582.96 is: 11,842.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.12 : 13,659 = 8,582.96 : x
  2. Step 2: Convert to fraction form
    9,899.12/13,659 = 8,582.96/x
  3. Step 3: Cross multiply
    9,899.12x = 13,659 × 8,582.96
  4. Step 4: Simplify right side
    9,899.12x = 117,234,650.64
  5. Step 5: Solve for x
    x = 117,234,650.64/9,899.12
  6. Step 6: Final answer
    x = 11,842.94

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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.