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Finding the Fourth Proportional to 19,818, 27,348.84 and 11,434.50

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Solution

The fourth proportional to 19,818, 27,348.84 and 11,434.50 is: 15,779.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,818 : 27,348.84 = 11,434.50 : x
  2. Step 2: Convert to fraction form
    19,818/27,348.84 = 11,434.50/x
  3. Step 3: Cross multiply
    19,818x = 27,348.84 × 11,434.50
  4. Step 4: Simplify right side
    19,818x = 312,720,310.98
  5. Step 5: Solve for x
    x = 312,720,310.98/19,818
  6. Step 6: Final answer
    x = 15,779.61

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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.