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Finding the Fourth Proportional to 32,648.40, 48,972.60 and 20,984.40

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Solution

The fourth proportional to 32,648.40, 48,972.60 and 20,984.40 is: 31,476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,648.40 : 48,972.60 = 20,984.40 : x
  2. Step 2: Convert to fraction form
    32,648.40/48,972.60 = 20,984.40/x
  3. Step 3: Cross multiply
    32,648.40x = 48,972.60 × 20,984.40
  4. Step 4: Simplify right side
    32,648.40x = 1,027,660,627.44
  5. Step 5: Solve for x
    x = 1,027,660,627.44/32,648.40
  6. Step 6: Final answer
    x = 31,476.60

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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.