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Finding the Fourth Proportional to 9,914.91, 13,682.46 and 5,438.44

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Solution

The fourth proportional to 9,914.91, 13,682.46 and 5,438.44 is: 7,504.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.91 : 13,682.46 = 5,438.44 : x
  2. Step 2: Convert to fraction form
    9,914.91/13,682.46 = 5,438.44/x
  3. Step 3: Cross multiply
    9,914.91x = 13,682.46 × 5,438.44
  4. Step 4: Simplify right side
    9,914.91x = 74,411,237.76
  5. Step 5: Solve for x
    x = 74,411,237.76/9,914.91
  6. Step 6: Final answer
    x = 7,504.98

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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.