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Finding the Fourth Proportional to 34,694.40, 47,848 and 27,978.08

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Solution

The fourth proportional to 34,694.40, 47,848 and 27,978.08 is: 38,585.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,694.40 : 47,848 = 27,978.08 : x
  2. Step 2: Convert to fraction form
    34,694.40/47,848 = 27,978.08/x
  3. Step 3: Cross multiply
    34,694.40x = 47,848 × 27,978.08
  4. Step 4: Simplify right side
    34,694.40x = 1,338,695,171.84
  5. Step 5: Solve for x
    x = 1,338,695,171.84/34,694.40
  6. Step 6: Final answer
    x = 38,585.34

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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.