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Finding the Fourth Proportional to 30,818, 46,234.68 and 8,930

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Solution

The fourth proportional to 30,818, 46,234.68 and 8,930 is: 13,397.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,818 : 46,234.68 = 8,930 : x
  2. Step 2: Convert to fraction form
    30,818/46,234.68 = 8,930/x
  3. Step 3: Cross multiply
    30,818x = 46,234.68 × 8,930
  4. Step 4: Simplify right side
    30,818x = 412,875,692.40
  5. Step 5: Solve for x
    x = 412,875,692.40/30,818
  6. Step 6: Final answer
    x = 13,397.23

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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.