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Finding the Fourth Proportional to 19,682.78, 29,516.87 and 7,992.05

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Solution

The fourth proportional to 19,682.78, 29,516.87 and 7,992.05 is: 11,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682.78 : 29,516.87 = 7,992.05 : x
  2. Step 2: Convert to fraction form
    19,682.78/29,516.87 = 7,992.05/x
  3. Step 3: Cross multiply
    19,682.78x = 29,516.87 × 7,992.05
  4. Step 4: Simplify right side
    19,682.78x = 235,900,113.34
  5. Step 5: Solve for x
    x = 235,900,113.34/19,682.78
  6. Step 6: Final answer
    x = 11,985.10

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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.