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Finding the Fourth Proportional to 34,194, 47,187.80 and 19,290

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Solution

The fourth proportional to 34,194, 47,187.80 and 19,290 is: 26,620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,194 : 47,187.80 = 19,290 : x
  2. Step 2: Convert to fraction form
    34,194/47,187.80 = 19,290/x
  3. Step 3: Cross multiply
    34,194x = 47,187.80 × 19,290
  4. Step 4: Simplify right side
    34,194x = 910,252,662
  5. Step 5: Solve for x
    x = 910,252,662/34,194
  6. Step 6: Final answer
    x = 26,620.25

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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.