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Finding the Fourth Proportional to 38,880, 53,656.83 and 22,113

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Solution

The fourth proportional to 38,880, 53,656.83 and 22,113 is: 30,517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,880 : 53,656.83 = 22,113 : x
  2. Step 2: Convert to fraction form
    38,880/53,656.83 = 22,113/x
  3. Step 3: Cross multiply
    38,880x = 53,656.83 × 22,113
  4. Step 4: Simplify right side
    38,880x = 1,186,513,481.79
  5. Step 5: Solve for x
    x = 1,186,513,481.79/38,880
  6. Step 6: Final answer
    x = 30,517.32

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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.