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Finding the Fourth Proportional to 34,788, 48,007.68 and 19,884

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Solution

The fourth proportional to 34,788, 48,007.68 and 19,884 is: 27,440.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,788 : 48,007.68 = 19,884 : x
  2. Step 2: Convert to fraction form
    34,788/48,007.68 = 19,884/x
  3. Step 3: Cross multiply
    34,788x = 48,007.68 × 19,884
  4. Step 4: Simplify right side
    34,788x = 954,584,709.12
  5. Step 5: Solve for x
    x = 954,584,709.12/34,788
  6. Step 6: Final answer
    x = 27,440.06

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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.