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Finding the Fourth Proportional to 30,818.50, 46,235.43 and 8,930.50

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Solution

The fourth proportional to 30,818.50, 46,235.43 and 8,930.50 is: 13,397.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,818.50 : 46,235.43 = 8,930.50 : x
  2. Step 2: Convert to fraction form
    30,818.50/46,235.43 = 8,930.50/x
  3. Step 3: Cross multiply
    30,818.50x = 46,235.43 × 8,930.50
  4. Step 4: Simplify right side
    30,818.50x = 412,905,507.62
  5. Step 5: Solve for x
    x = 412,905,507.62/30,818.50
  6. Step 6: Final answer
    x = 13,397.98

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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.