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Finding the Fourth Proportional to 9,984.96, 13,775.22 and 6,446.88

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Solution

The fourth proportional to 9,984.96, 13,775.22 and 6,446.88 is: 8,894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.96 : 13,775.22 = 6,446.88 : x
  2. Step 2: Convert to fraction form
    9,984.96/13,775.22 = 6,446.88/x
  3. Step 3: Cross multiply
    9,984.96x = 13,775.22 × 6,446.88
  4. Step 4: Simplify right side
    9,984.96x = 88,807,190.31
  5. Step 5: Solve for x
    x = 88,807,190.31/9,984.96
  6. Step 6: Final answer
    x = 8,894.10

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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.