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Finding the Fourth Proportional to 38,900.86, 53,684.24 and 21,905.71

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Solution

The fourth proportional to 38,900.86, 53,684.24 and 21,905.71 is: 30,230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,900.86 : 53,684.24 = 21,905.71 : x
  2. Step 2: Convert to fraction form
    38,900.86/53,684.24 = 21,905.71/x
  3. Step 3: Cross multiply
    38,900.86x = 53,684.24 × 21,905.71
  4. Step 4: Simplify right side
    38,900.86x = 1,175,991,149.27
  5. Step 5: Solve for x
    x = 1,175,991,149.27/38,900.86
  6. Step 6: Final answer
    x = 30,230.47

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1.5x scale

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.