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Finding the Fourth Proportional to 27,574.74, 41,352.30 and 12,780.90

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Solution

The fourth proportional to 27,574.74, 41,352.30 and 12,780.90 is: 19,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,574.74 : 41,352.30 = 12,780.90 : x
  2. Step 2: Convert to fraction form
    27,574.74/41,352.30 = 12,780.90/x
  3. Step 3: Cross multiply
    27,574.74x = 41,352.30 × 12,780.90
  4. Step 4: Simplify right side
    27,574.74x = 528,519,611.07
  5. Step 5: Solve for x
    x = 528,519,611.07/27,574.74
  6. Step 6: Final answer
    x = 19,166.80

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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.