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Finding the Fourth Proportional to 25,700, 38,550.68 and 8,169.83

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Solution

The fourth proportional to 25,700, 38,550.68 and 8,169.83 is: 12,254.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,700 : 38,550.68 = 8,169.83 : x
  2. Step 2: Convert to fraction form
    25,700/38,550.68 = 8,169.83/x
  3. Step 3: Cross multiply
    25,700x = 38,550.68 × 8,169.83
  4. Step 4: Simplify right side
    25,700x = 314,952,268.38
  5. Step 5: Solve for x
    x = 314,952,268.38/25,700
  6. Step 6: Final answer
    x = 12,254.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.