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Finding the Fourth Proportional to 31,350, 47,245.08 and 28,233.48

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Solution

The fourth proportional to 31,350, 47,245.08 and 28,233.48 is: 42,548.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,350 : 47,245.08 = 28,233.48 : x
  2. Step 2: Convert to fraction form
    31,350/47,245.08 = 28,233.48/x
  3. Step 3: Cross multiply
    31,350x = 47,245.08 × 28,233.48
  4. Step 4: Simplify right side
    31,350x = 1,333,893,021.28
  5. Step 5: Solve for x
    x = 1,333,893,021.28/31,350
  6. Step 6: Final answer
    x = 42,548.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.