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Finding the Fourth Proportional to 18,594.80, 25,678.34 and 12,945.00

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Solution

The fourth proportional to 18,594.80, 25,678.34 and 12,945.00 is: 17,876.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,594.80 : 25,678.34 = 12,945.00 : x
  2. Step 2: Convert to fraction form
    18,594.80/25,678.34 = 12,945.00/x
  3. Step 3: Cross multiply
    18,594.80x = 25,678.34 × 12,945.00
  4. Step 4: Simplify right side
    18,594.80x = 332,406,059.11
  5. Step 5: Solve for x
    x = 332,406,059.11/18,594.80
  6. Step 6: Final answer
    x = 17,876.29

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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.