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Finding the Fourth Proportional to 25,472.52, 38,208.38 and 13,783

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Solution

The fourth proportional to 25,472.52, 38,208.38 and 13,783 is: 20,674.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,472.52 : 38,208.38 = 13,783 : x
  2. Step 2: Convert to fraction form
    25,472.52/38,208.38 = 13,783/x
  3. Step 3: Cross multiply
    25,472.52x = 38,208.38 × 13,783
  4. Step 4: Simplify right side
    25,472.52x = 526,626,101.54
  5. Step 5: Solve for x
    x = 526,626,101.54/25,472.52
  6. Step 6: Final answer
    x = 20,674.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.