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Finding the Fourth Proportional to 30,400.56, 41,951.40 and 16,971.50

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Solution

The fourth proportional to 30,400.56, 41,951.40 and 16,971.50 is: 23,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,400.56 : 41,951.40 = 16,971.50 : x
  2. Step 2: Convert to fraction form
    30,400.56/41,951.40 = 16,971.50/x
  3. Step 3: Cross multiply
    30,400.56x = 41,951.40 × 16,971.50
  4. Step 4: Simplify right side
    30,400.56x = 711,978,185.10
  5. Step 5: Solve for x
    x = 711,978,185.10/30,400.56
  6. Step 6: Final answer
    x = 23,419.90

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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.