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Finding the Fourth Proportional to 31,502.17, 47,255.08 and 8,128

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Solution

The fourth proportional to 31,502.17, 47,255.08 and 8,128 is: 12,192.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,502.17 : 47,255.08 = 8,128 : x
  2. Step 2: Convert to fraction form
    31,502.17/47,255.08 = 8,128/x
  3. Step 3: Cross multiply
    31,502.17x = 47,255.08 × 8,128
  4. Step 4: Simplify right side
    31,502.17x = 384,089,290.24
  5. Step 5: Solve for x
    x = 384,089,290.24/31,502.17
  6. Step 6: Final answer
    x = 12,192.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.