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Finding the Fourth Proportional to 19,382.74, 26,758.34 and 13,042.67

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Solution

The fourth proportional to 19,382.74, 26,758.34 and 13,042.67 is: 18,005.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,382.74 : 26,758.34 = 13,042.67 : x
  2. Step 2: Convert to fraction form
    19,382.74/26,758.34 = 13,042.67/x
  3. Step 3: Cross multiply
    19,382.74x = 26,758.34 × 13,042.67
  4. Step 4: Simplify right side
    19,382.74x = 349,000,131.47
  5. Step 5: Solve for x
    x = 349,000,131.47/19,382.74
  6. Step 6: Final answer
    x = 18,005.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.