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Finding the Fourth Proportional to 34,783.78, 47,998.02 and 19,678.09

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Solution

The fourth proportional to 34,783.78, 47,998.02 and 19,678.09 is: 27,153.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,783.78 : 47,998.02 = 19,678.09 : x
  2. Step 2: Convert to fraction form
    34,783.78/47,998.02 = 19,678.09/x
  3. Step 3: Cross multiply
    34,783.78x = 47,998.02 × 19,678.09
  4. Step 4: Simplify right side
    34,783.78x = 944,509,357.38
  5. Step 5: Solve for x
    x = 944,509,357.38/34,783.78
  6. Step 6: Final answer
    x = 27,153.73

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1.5x scale

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.