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Finding the Fourth Proportional to 25,636.65, 38,454.72 and 8,106.48

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Solution

The fourth proportional to 25,636.65, 38,454.72 and 8,106.48 is: 12,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,636.65 : 38,454.72 = 8,106.48 : x
  2. Step 2: Convert to fraction form
    25,636.65/38,454.72 = 8,106.48/x
  3. Step 3: Cross multiply
    25,636.65x = 38,454.72 × 8,106.48
  4. Step 4: Simplify right side
    25,636.65x = 311,732,418.59
  5. Step 5: Solve for x
    x = 311,732,418.59/25,636.65
  6. Step 6: Final answer
    x = 12,159.64

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