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Finding the Fourth Proportional to 30,374.87, 41,915.39 and 16,947

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Solution

The fourth proportional to 30,374.87, 41,915.39 and 16,947 is: 23,385.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,374.87 : 41,915.39 = 16,947 : x
  2. Step 2: Convert to fraction form
    30,374.87/41,915.39 = 16,947/x
  3. Step 3: Cross multiply
    30,374.87x = 41,915.39 × 16,947
  4. Step 4: Simplify right side
    30,374.87x = 710,340,029.60
  5. Step 5: Solve for x
    x = 710,340,029.60/30,374.87
  6. Step 6: Final answer
    x = 23,385.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.