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Finding the Fourth Proportional to 26,947, 37,186.86 and 15,769

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Solution

The fourth proportional to 26,947, 37,186.86 and 15,769 is: 21,761.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,947 : 37,186.86 = 15,769 : x
  2. Step 2: Convert to fraction form
    26,947/37,186.86 = 15,769/x
  3. Step 3: Cross multiply
    26,947x = 37,186.86 × 15,769
  4. Step 4: Simplify right side
    26,947x = 586,399,595.34
  5. Step 5: Solve for x
    x = 586,399,595.34/26,947
  6. Step 6: Final answer
    x = 21,761.22

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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.