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Finding the Fourth Proportional to 38,912, 53,701.08 and 22,145

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Solution

The fourth proportional to 38,912, 53,701.08 and 22,145 is: 30,561.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,912 : 53,701.08 = 22,145 : x
  2. Step 2: Convert to fraction form
    38,912/53,701.08 = 22,145/x
  3. Step 3: Cross multiply
    38,912x = 53,701.08 × 22,145
  4. Step 4: Simplify right side
    38,912x = 1,189,210,416.60
  5. Step 5: Solve for x
    x = 1,189,210,416.60/38,912
  6. Step 6: Final answer
    x = 30,561.53

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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.