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Finding the Fourth Proportional to 30,709, 46,063.50 and 8,821

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Solution

The fourth proportional to 30,709, 46,063.50 and 8,821 is: 13,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709 : 46,063.50 = 8,821 : x
  2. Step 2: Convert to fraction form
    30,709/46,063.50 = 8,821/x
  3. Step 3: Cross multiply
    30,709x = 46,063.50 × 8,821
  4. Step 4: Simplify right side
    30,709x = 406,326,133.50
  5. Step 5: Solve for x
    x = 406,326,133.50/30,709
  6. Step 6: Final answer
    x = 13,231.50

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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.