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Finding the Fourth Proportional to 32,400, 48,600 and 11,623.50

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Solution

The fourth proportional to 32,400, 48,600 and 11,623.50 is: 17,435.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,400 : 48,600 = 11,623.50 : x
  2. Step 2: Convert to fraction form
    32,400/48,600 = 11,623.50/x
  3. Step 3: Cross multiply
    32,400x = 48,600 × 11,623.50
  4. Step 4: Simplify right side
    32,400x = 564,902,100
  5. Step 5: Solve for x
    x = 564,902,100/32,400
  6. Step 6: Final answer
    x = 17,435.25

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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.