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Finding the Fourth Proportional to 8,538.63, 11,784.54 and 8,165.04

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Solution

The fourth proportional to 8,538.63, 11,784.54 and 8,165.04 is: 11,268.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.63 : 11,784.54 = 8,165.04 : x
  2. Step 2: Convert to fraction form
    8,538.63/11,784.54 = 8,165.04/x
  3. Step 3: Cross multiply
    8,538.63x = 11,784.54 × 8,165.04
  4. Step 4: Simplify right side
    8,538.63x = 96,221,240.48
  5. Step 5: Solve for x
    x = 96,221,240.48/8,538.63
  6. Step 6: Final answer
    x = 11,268.93

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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.