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Finding the Fourth Proportional to 18,518, 25,542.84 and 12,478.64

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Solution

The fourth proportional to 18,518, 25,542.84 and 12,478.64 is: 17,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,518 : 25,542.84 = 12,478.64 : x
  2. Step 2: Convert to fraction form
    18,518/25,542.84 = 12,478.64/x
  3. Step 3: Cross multiply
    18,518x = 25,542.84 × 12,478.64
  4. Step 4: Simplify right side
    18,518x = 318,739,904.94
  5. Step 5: Solve for x
    x = 318,739,904.94/18,518
  6. Step 6: Final answer
    x = 17,212.44

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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.