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Finding the Fourth Proportional to 9,933.44, 13,709.45 and 6,406.90

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Solution

The fourth proportional to 9,933.44, 13,709.45 and 6,406.90 is: 8,842.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.44 : 13,709.45 = 6,406.90 : x
  2. Step 2: Convert to fraction form
    9,933.44/13,709.45 = 6,406.90/x
  3. Step 3: Cross multiply
    9,933.44x = 13,709.45 × 6,406.90
  4. Step 4: Simplify right side
    9,933.44x = 87,835,056.95
  5. Step 5: Solve for x
    x = 87,835,056.95/9,933.44
  6. Step 6: Final answer
    x = 8,842.36

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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.