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Finding the Fourth Proportional to 38,191, 52,703.94 and 21,424.36

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Solution

The fourth proportional to 38,191, 52,703.94 and 21,424.36 is: 29,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,191 : 52,703.94 = 21,424.36 : x
  2. Step 2: Convert to fraction form
    38,191/52,703.94 = 21,424.36/x
  3. Step 3: Cross multiply
    38,191x = 52,703.94 × 21,424.36
  4. Step 4: Simplify right side
    38,191x = 1,129,148,183.98
  5. Step 5: Solve for x
    x = 1,129,148,183.98/38,191
  6. Step 6: Final answer
    x = 29,565.82

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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.