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Finding the Fourth Proportional to 8,542.91, 11,784.47 and 5,005.43

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Solution

The fourth proportional to 8,542.91, 11,784.47 and 5,005.43 is: 6,904.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.91 : 11,784.47 = 5,005.43 : x
  2. Step 2: Convert to fraction form
    8,542.91/11,784.47 = 5,005.43/x
  3. Step 3: Cross multiply
    8,542.91x = 11,784.47 × 5,005.43
  4. Step 4: Simplify right side
    8,542.91x = 58,986,255.72
  5. Step 5: Solve for x
    x = 58,986,255.72/8,542.91
  6. Step 6: Final answer
    x = 6,904.71

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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.