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Finding the Fourth Proportional to 40,477.84, 60,704.38 and 19,407

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Solution

The fourth proportional to 40,477.84, 60,704.38 and 19,407 is: 29,104.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,477.84 : 60,704.38 = 19,407 : x
  2. Step 2: Convert to fraction form
    40,477.84/60,704.38 = 19,407/x
  3. Step 3: Cross multiply
    40,477.84x = 60,704.38 × 19,407
  4. Step 4: Simplify right side
    40,477.84x = 1,178,089,902.66
  5. Step 5: Solve for x
    x = 1,178,089,902.66/40,477.84
  6. Step 6: Final answer
    x = 29,104.56

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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.