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Finding the Fourth Proportional to 38,198, 52,713.24 and 21,430.64

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Solution

The fourth proportional to 38,198, 52,713.24 and 21,430.64 is: 29,574.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,198 : 52,713.24 = 21,430.64 : x
  2. Step 2: Convert to fraction form
    38,198/52,713.24 = 21,430.64/x
  3. Step 3: Cross multiply
    38,198x = 52,713.24 × 21,430.64
  4. Step 4: Simplify right side
    38,198x = 1,129,678,469.67
  5. Step 5: Solve for x
    x = 1,129,678,469.67/38,198
  6. Step 6: Final answer
    x = 29,574.28

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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.