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Finding the Fourth Proportional to 8,323, 11,485.77 and 4,786.42

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Solution

The fourth proportional to 8,323, 11,485.77 and 4,786.42 is: 6,605.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323 : 11,485.77 = 4,786.42 : x
  2. Step 2: Convert to fraction form
    8,323/11,485.77 = 4,786.42/x
  3. Step 3: Cross multiply
    8,323x = 11,485.77 × 4,786.42
  4. Step 4: Simplify right side
    8,323x = 54,975,719.24
  5. Step 5: Solve for x
    x = 54,975,719.24/8,323
  6. Step 6: Final answer
    x = 6,605.28

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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.