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Finding the Fourth Proportional to 39,562, 54,595.56 and 21,898

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Solution

The fourth proportional to 39,562, 54,595.56 and 21,898 is: 30,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,562 : 54,595.56 = 21,898 : x
  2. Step 2: Convert to fraction form
    39,562/54,595.56 = 21,898/x
  3. Step 3: Cross multiply
    39,562x = 54,595.56 × 21,898
  4. Step 4: Simplify right side
    39,562x = 1,195,533,572.88
  5. Step 5: Solve for x
    x = 1,195,533,572.88/39,562
  6. Step 6: Final answer
    x = 30,219.24

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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.