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Finding the Fourth Proportional to 30,651.58, 45,977.37 and 8,468.11

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Solution

The fourth proportional to 30,651.58, 45,977.37 and 8,468.11 is: 12,702.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,651.58 : 45,977.37 = 8,468.11 : x
  2. Step 2: Convert to fraction form
    30,651.58/45,977.37 = 8,468.11/x
  3. Step 3: Cross multiply
    30,651.58x = 45,977.37 × 8,468.11
  4. Step 4: Simplify right side
    30,651.58x = 389,341,426.67
  5. Step 5: Solve for x
    x = 389,341,426.67/30,651.58
  6. Step 6: Final answer
    x = 12,702.17

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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.