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Finding the Fourth Proportional to 30,767.81, 42,473.75 and 18,019.22

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Solution

The fourth proportional to 30,767.81, 42,473.75 and 18,019.22 is: 24,874.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,767.81 : 42,473.75 = 18,019.22 : x
  2. Step 2: Convert to fraction form
    30,767.81/42,473.75 = 18,019.22/x
  3. Step 3: Cross multiply
    30,767.81x = 42,473.75 × 18,019.22
  4. Step 4: Simplify right side
    30,767.81x = 765,343,543.01
  5. Step 5: Solve for x
    x = 765,343,543.01/30,767.81
  6. Step 6: Final answer
    x = 24,874.82

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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.