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Finding the Fourth Proportional to 31,503.69, 47,255.55 and 8,128.32

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Solution

The fourth proportional to 31,503.69, 47,255.55 and 8,128.32 is: 12,192.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,503.69 : 47,255.55 = 8,128.32 : x
  2. Step 2: Convert to fraction form
    31,503.69/47,255.55 = 8,128.32/x
  3. Step 3: Cross multiply
    31,503.69x = 47,255.55 × 8,128.32
  4. Step 4: Simplify right side
    31,503.69x = 384,108,232.18
  5. Step 5: Solve for x
    x = 384,108,232.18/31,503.69
  6. Step 6: Final answer
    x = 12,192.48

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1.5x scale

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.