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Finding the Fourth Proportional to 8,235.08, 11,364.42 and 4,509

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Solution

The fourth proportional to 8,235.08, 11,364.42 and 4,509 is: 6,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.08 : 11,364.42 = 4,509 : x
  2. Step 2: Convert to fraction form
    8,235.08/11,364.42 = 4,509/x
  3. Step 3: Cross multiply
    8,235.08x = 11,364.42 × 4,509
  4. Step 4: Simplify right side
    8,235.08x = 51,242,169.78
  5. Step 5: Solve for x
    x = 51,242,169.78/8,235.08
  6. Step 6: Final answer
    x = 6,222.43

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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.