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Finding the Fourth Proportional to 30,357, 45,535.50 and 8,469

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Solution

The fourth proportional to 30,357, 45,535.50 and 8,469 is: 12,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,357 : 45,535.50 = 8,469 : x
  2. Step 2: Convert to fraction form
    30,357/45,535.50 = 8,469/x
  3. Step 3: Cross multiply
    30,357x = 45,535.50 × 8,469
  4. Step 4: Simplify right side
    30,357x = 385,640,149.50
  5. Step 5: Solve for x
    x = 385,640,149.50/30,357
  6. Step 6: Final answer
    x = 12,703.50

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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.