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Finding the Fourth Proportional to 30,971.64, 42,750.66 and 19,793.64

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Solution

The fourth proportional to 30,971.64, 42,750.66 and 19,793.64 is: 27,321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.64 : 42,750.66 = 19,793.64 : x
  2. Step 2: Convert to fraction form
    30,971.64/42,750.66 = 19,793.64/x
  3. Step 3: Cross multiply
    30,971.64x = 42,750.66 × 19,793.64
  4. Step 4: Simplify right side
    30,971.64x = 846,191,173.80
  5. Step 5: Solve for x
    x = 846,191,173.80/30,971.64
  6. Step 6: Final answer
    x = 27,321.48

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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.