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Finding the Fourth Proportional to 30,655.68, 45,976.23 and 8,468.57

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Solution

The fourth proportional to 30,655.68, 45,976.23 and 8,468.57 is: 12,700.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,655.68 : 45,976.23 = 8,468.57 : x
  2. Step 2: Convert to fraction form
    30,655.68/45,976.23 = 8,468.57/x
  3. Step 3: Cross multiply
    30,655.68x = 45,976.23 × 8,468.57
  4. Step 4: Simplify right side
    30,655.68x = 389,352,692.21
  5. Step 5: Solve for x
    x = 389,352,692.21/30,655.68
  6. Step 6: Final answer
    x = 12,700.83

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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.