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Finding the Fourth Proportional to 34,683.88, 47,858.34 and 19,777

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Solution

The fourth proportional to 34,683.88, 47,858.34 and 19,777 is: 27,289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,683.88 : 47,858.34 = 19,777 : x
  2. Step 2: Convert to fraction form
    34,683.88/47,858.34 = 19,777/x
  3. Step 3: Cross multiply
    34,683.88x = 47,858.34 × 19,777
  4. Step 4: Simplify right side
    34,683.88x = 946,494,390.18
  5. Step 5: Solve for x
    x = 946,494,390.18/34,683.88
  6. Step 6: Final answer
    x = 27,289.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.