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Finding the Fourth Proportional to 8,235, 11,364.30 and 4,509

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Solution

The fourth proportional to 8,235, 11,364.30 and 4,509 is: 6,222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235 : 11,364.30 = 4,509 : x
  2. Step 2: Convert to fraction form
    8,235/11,364.30 = 4,509/x
  3. Step 3: Cross multiply
    8,235x = 11,364.30 × 4,509
  4. Step 4: Simplify right side
    8,235x = 51,241,628.70
  5. Step 5: Solve for x
    x = 51,241,628.70/8,235
  6. Step 6: Final answer
    x = 6,222.42

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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.