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Finding the Fourth Proportional to 53,947, 80,920.50 and 17,011

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Solution

The fourth proportional to 53,947, 80,920.50 and 17,011 is: 25,516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,947 : 80,920.50 = 17,011 : x
  2. Step 2: Convert to fraction form
    53,947/80,920.50 = 17,011/x
  3. Step 3: Cross multiply
    53,947x = 80,920.50 × 17,011
  4. Step 4: Simplify right side
    53,947x = 1,376,538,625.50
  5. Step 5: Solve for x
    x = 1,376,538,625.50/53,947
  6. Step 6: Final answer
    x = 25,516.50

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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.