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Finding the Fourth Proportional to 9,050, 13,575 and 3,578

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Solution

The fourth proportional to 9,050, 13,575 and 3,578 is: 5,367

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,050 : 13,575 = 3,578 : x
  2. Step 2: Convert to fraction form
    9,050/13,575 = 3,578/x
  3. Step 3: Cross multiply
    9,050x = 13,575 × 3,578
  4. Step 4: Simplify right side
    9,050x = 48,571,350
  5. Step 5: Solve for x
    x = 48,571,350/9,050
  6. Step 6: Final answer
    x = 5,367

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.