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Finding the Fourth Proportional to 39,671.51, 54,750.22 and 21,770

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Solution

The fourth proportional to 39,671.51, 54,750.22 and 21,770 is: 30,044.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,671.51 : 54,750.22 = 21,770 : x
  2. Step 2: Convert to fraction form
    39,671.51/54,750.22 = 21,770/x
  3. Step 3: Cross multiply
    39,671.51x = 54,750.22 × 21,770
  4. Step 4: Simplify right side
    39,671.51x = 1,191,912,289.40
  5. Step 5: Solve for x
    x = 1,191,912,289.40/39,671.51
  6. Step 6: Final answer
    x = 30,044.54

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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.