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Finding the Fourth Proportional to 19,785.74, 29,678.54 and 8,098.97

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Solution

The fourth proportional to 19,785.74, 29,678.54 and 8,098.97 is: 12,148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,785.74 : 29,678.54 = 8,098.97 : x
  2. Step 2: Convert to fraction form
    19,785.74/29,678.54 = 8,098.97/x
  3. Step 3: Cross multiply
    19,785.74x = 29,678.54 × 8,098.97
  4. Step 4: Simplify right side
    19,785.74x = 240,365,416.22
  5. Step 5: Solve for x
    x = 240,365,416.22/19,785.74
  6. Step 6: Final answer
    x = 12,148.42

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1.5x scale

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.