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Finding the Fourth Proportional to 19,785.86, 29,684.35 and 7,947.94

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Solution

The fourth proportional to 19,785.86, 29,684.35 and 7,947.94 is: 11,924.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,785.86 : 29,684.35 = 7,947.94 : x
  2. Step 2: Convert to fraction form
    19,785.86/29,684.35 = 7,947.94/x
  3. Step 3: Cross multiply
    19,785.86x = 29,684.35 × 7,947.94
  4. Step 4: Simplify right side
    19,785.86x = 235,929,393.00
  5. Step 5: Solve for x
    x = 235,929,393.00/19,785.86
  6. Step 6: Final answer
    x = 11,924.14

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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.