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Finding the Fourth Proportional to 11,489.94, 15,858.21 and 6,774.42

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Solution

The fourth proportional to 11,489.94, 15,858.21 and 6,774.42 is: 9,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.94 : 15,858.21 = 6,774.42 : x
  2. Step 2: Convert to fraction form
    11,489.94/15,858.21 = 6,774.42/x
  3. Step 3: Cross multiply
    11,489.94x = 15,858.21 × 6,774.42
  4. Step 4: Simplify right side
    11,489.94x = 107,430,174.99
  5. Step 5: Solve for x
    x = 107,430,174.99/11,489.94
  6. Step 6: Final answer
    x = 9,349.93

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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.