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Finding the Fourth Proportional to 32,938.75, 49,408.25 and 7,978.75

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Solution

The fourth proportional to 32,938.75, 49,408.25 and 7,978.75 is: 11,968.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,938.75 : 49,408.25 = 7,978.75 : x
  2. Step 2: Convert to fraction form
    32,938.75/49,408.25 = 7,978.75/x
  3. Step 3: Cross multiply
    32,938.75x = 49,408.25 × 7,978.75
  4. Step 4: Simplify right side
    32,938.75x = 394,216,074.69
  5. Step 5: Solve for x
    x = 394,216,074.69/32,938.75
  6. Step 6: Final answer
    x = 11,968.16

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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.