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Finding the Fourth Proportional to 30,614, 45,914.96 and 8,421.68

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Solution

The fourth proportional to 30,614, 45,914.96 and 8,421.68 is: 12,630.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,614 : 45,914.96 = 8,421.68 : x
  2. Step 2: Convert to fraction form
    30,614/45,914.96 = 8,421.68/x
  3. Step 3: Cross multiply
    30,614x = 45,914.96 × 8,421.68
  4. Step 4: Simplify right side
    30,614x = 386,681,100.33
  5. Step 5: Solve for x
    x = 386,681,100.33/30,614
  6. Step 6: Final answer
    x = 12,630.86

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Why These Related Problems?

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