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Finding the Fourth Proportional to 34,678.54, 47,856.26 and 18,763

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Solution

The fourth proportional to 34,678.54, 47,856.26 and 18,763 is: 25,892.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,678.54 : 47,856.26 = 18,763 : x
  2. Step 2: Convert to fraction form
    34,678.54/47,856.26 = 18,763/x
  3. Step 3: Cross multiply
    34,678.54x = 47,856.26 × 18,763
  4. Step 4: Simplify right side
    34,678.54x = 897,927,006.38
  5. Step 5: Solve for x
    x = 897,927,006.38/34,678.54
  6. Step 6: Final answer
    x = 25,892.87

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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.