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Finding the Fourth Proportional to 30,574.00, 42,212.84 and 19,106.42

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Solution

The fourth proportional to 30,574.00, 42,212.84 and 19,106.42 is: 26,379.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,574.00 : 42,212.84 = 19,106.42 : x
  2. Step 2: Convert to fraction form
    30,574.00/42,212.84 = 19,106.42/x
  3. Step 3: Cross multiply
    30,574.00x = 42,212.84 × 19,106.42
  4. Step 4: Simplify right side
    30,574.00x = 806,536,353.74
  5. Step 5: Solve for x
    x = 806,536,353.74/30,574.00
  6. Step 6: Final answer
    x = 26,379.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.