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Finding the Fourth Proportional to 9,454, 13,049.76 and 5,728

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Solution

The fourth proportional to 9,454, 13,049.76 and 5,728 is: 7,906.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454 : 13,049.76 = 5,728 : x
  2. Step 2: Convert to fraction form
    9,454/13,049.76 = 5,728/x
  3. Step 3: Cross multiply
    9,454x = 13,049.76 × 5,728
  4. Step 4: Simplify right side
    9,454x = 74,749,025.28
  5. Step 5: Solve for x
    x = 74,749,025.28/9,454
  6. Step 6: Final answer
    x = 7,906.60

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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.