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Finding the Fourth Proportional to 38,705.80, 53,400.18 and 21,938.80

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Solution

The fourth proportional to 38,705.80, 53,400.18 and 21,938.80 is: 30,267.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,705.80 : 53,400.18 = 21,938.80 : x
  2. Step 2: Convert to fraction form
    38,705.80/53,400.18 = 21,938.80/x
  3. Step 3: Cross multiply
    38,705.80x = 53,400.18 × 21,938.80
  4. Step 4: Simplify right side
    38,705.80x = 1,171,535,868.98
  5. Step 5: Solve for x
    x = 1,171,535,868.98/38,705.80
  6. Step 6: Final answer
    x = 30,267.71

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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.