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Finding the Fourth Proportional to 30,655.25, 45,982.82 and 8,468.57

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Solution

The fourth proportional to 30,655.25, 45,982.82 and 8,468.57 is: 12,702.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,655.25 : 45,982.82 = 8,468.57 : x
  2. Step 2: Convert to fraction form
    30,655.25/45,982.82 = 8,468.57/x
  3. Step 3: Cross multiply
    30,655.25x = 45,982.82 × 8,468.57
  4. Step 4: Simplify right side
    30,655.25x = 389,408,457.71
  5. Step 5: Solve for x
    x = 389,408,457.71/30,655.25
  6. Step 6: Final answer
    x = 12,702.83

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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.