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Finding the Fourth Proportional to 9,533.50, 14,300.28 and 2,608

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Solution

The fourth proportional to 9,533.50, 14,300.28 and 2,608 is: 3,912.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.50 : 14,300.28 = 2,608 : x
  2. Step 2: Convert to fraction form
    9,533.50/14,300.28 = 2,608/x
  3. Step 3: Cross multiply
    9,533.50x = 14,300.28 × 2,608
  4. Step 4: Simplify right side
    9,533.50x = 37,295,130.24
  5. Step 5: Solve for x
    x = 37,295,130.24/9,533.50
  6. Step 6: Final answer
    x = 3,912.01

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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.