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Finding the Fourth Proportional to 39,552, 54,581.76 and 21,888

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Solution

The fourth proportional to 39,552, 54,581.76 and 21,888 is: 30,205.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,552 : 54,581.76 = 21,888 : x
  2. Step 2: Convert to fraction form
    39,552/54,581.76 = 21,888/x
  3. Step 3: Cross multiply
    39,552x = 54,581.76 × 21,888
  4. Step 4: Simplify right side
    39,552x = 1,194,685,562.88
  5. Step 5: Solve for x
    x = 1,194,685,562.88/39,552
  6. Step 6: Final answer
    x = 30,205.44

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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.