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Finding the Fourth Proportional to 50,947, 70,313.34 and 28,591

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Solution

The fourth proportional to 50,947, 70,313.34 and 28,591 is: 39,459.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,947 : 70,313.34 = 28,591 : x
  2. Step 2: Convert to fraction form
    50,947/70,313.34 = 28,591/x
  3. Step 3: Cross multiply
    50,947x = 70,313.34 × 28,591
  4. Step 4: Simplify right side
    50,947x = 2,010,328,703.94
  5. Step 5: Solve for x
    x = 2,010,328,703.94/50,947
  6. Step 6: Final answer
    x = 39,459.22

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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.