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Finding the Fourth Proportional to 32,010, 48,015 and 10,122

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Solution

The fourth proportional to 32,010, 48,015 and 10,122 is: 15,183

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,010 : 48,015 = 10,122 : x
  2. Step 2: Convert to fraction form
    32,010/48,015 = 10,122/x
  3. Step 3: Cross multiply
    32,010x = 48,015 × 10,122
  4. Step 4: Simplify right side
    32,010x = 486,007,830
  5. Step 5: Solve for x
    x = 486,007,830/32,010
  6. Step 6: Final answer
    x = 15,183

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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.