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Finding the Fourth Proportional to 19,911.23, 29,879 and 8,222.93

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Solution

The fourth proportional to 19,911.23, 29,879 and 8,222.93 is: 12,339.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,911.23 : 29,879 = 8,222.93 : x
  2. Step 2: Convert to fraction form
    19,911.23/29,879 = 8,222.93/x
  3. Step 3: Cross multiply
    19,911.23x = 29,879 × 8,222.93
  4. Step 4: Simplify right side
    19,911.23x = 245,692,925.47
  5. Step 5: Solve for x
    x = 245,692,925.47/19,911.23
  6. Step 6: Final answer
    x = 12,339.41

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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.