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Finding the Fourth Proportional to 38,447, 53,056.86 and 20,783

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Solution

The fourth proportional to 38,447, 53,056.86 and 20,783 is: 28,680.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,447 : 53,056.86 = 20,783 : x
  2. Step 2: Convert to fraction form
    38,447/53,056.86 = 20,783/x
  3. Step 3: Cross multiply
    38,447x = 53,056.86 × 20,783
  4. Step 4: Simplify right side
    38,447x = 1,102,680,721.38
  5. Step 5: Solve for x
    x = 1,102,680,721.38/38,447
  6. Step 6: Final answer
    x = 28,680.54

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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.