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Finding the Fourth Proportional to 38,518, 53,154.84 and 20,854

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Solution

The fourth proportional to 38,518, 53,154.84 and 20,854 is: 28,778.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,518 : 53,154.84 = 20,854 : x
  2. Step 2: Convert to fraction form
    38,518/53,154.84 = 20,854/x
  3. Step 3: Cross multiply
    38,518x = 53,154.84 × 20,854
  4. Step 4: Simplify right side
    38,518x = 1,108,491,033.36
  5. Step 5: Solve for x
    x = 1,108,491,033.36/38,518
  6. Step 6: Final answer
    x = 28,778.52

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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.