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Finding the Fourth Proportional to 38,570, 57,846.36 and 18,839.12

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Solution

The fourth proportional to 38,570, 57,846.36 and 18,839.12 is: 28,254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,570 : 57,846.36 = 18,839.12 : x
  2. Step 2: Convert to fraction form
    38,570/57,846.36 = 18,839.12/x
  3. Step 3: Cross multiply
    38,570x = 57,846.36 × 18,839.12
  4. Step 4: Simplify right side
    38,570x = 1,089,774,517.60
  5. Step 5: Solve for x
    x = 1,089,774,517.60/38,570
  6. Step 6: Final answer
    x = 28,254.46

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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.