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Finding the Fourth Proportional to 38,560, 53,212.80 and 20,896

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Solution

The fourth proportional to 38,560, 53,212.80 and 20,896 is: 28,836.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,560 : 53,212.80 = 20,896 : x
  2. Step 2: Convert to fraction form
    38,560/53,212.80 = 20,896/x
  3. Step 3: Cross multiply
    38,560x = 53,212.80 × 20,896
  4. Step 4: Simplify right side
    38,560x = 1,111,934,668.80
  5. Step 5: Solve for x
    x = 1,111,934,668.80/38,560
  6. Step 6: Final answer
    x = 28,836.48

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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.