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Finding the Fourth Proportional to 32,938.83, 49,408.26 and 7,978.90

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Solution

The fourth proportional to 32,938.83, 49,408.26 and 7,978.90 is: 11,968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,938.83 : 49,408.26 = 7,978.90 : x
  2. Step 2: Convert to fraction form
    32,938.83/49,408.26 = 7,978.90/x
  3. Step 3: Cross multiply
    32,938.83x = 49,408.26 × 7,978.90
  4. Step 4: Simplify right side
    32,938.83x = 394,223,549.79
  5. Step 5: Solve for x
    x = 394,223,549.79/32,938.83
  6. Step 6: Final answer
    x = 11,968.35

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Similar ratio
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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.