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Finding the Fourth Proportional to 30,681.45, 46,022.04 and 8,494.61

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Solution

The fourth proportional to 30,681.45, 46,022.04 and 8,494.61 is: 12,741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,681.45 : 46,022.04 = 8,494.61 : x
  2. Step 2: Convert to fraction form
    30,681.45/46,022.04 = 8,494.61/x
  3. Step 3: Cross multiply
    30,681.45x = 46,022.04 × 8,494.61
  4. Step 4: Simplify right side
    30,681.45x = 390,939,051.09
  5. Step 5: Solve for x
    x = 390,939,051.09/30,681.45
  6. Step 6: Final answer
    x = 12,741.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.