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Finding the Fourth Proportional to 19,661.86, 29,492.60 and 7,972.30

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Solution

The fourth proportional to 19,661.86, 29,492.60 and 7,972.30 is: 11,958.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,661.86 : 29,492.60 = 7,972.30 : x
  2. Step 2: Convert to fraction form
    19,661.86/29,492.60 = 7,972.30/x
  3. Step 3: Cross multiply
    19,661.86x = 29,492.60 × 7,972.30
  4. Step 4: Simplify right side
    19,661.86x = 235,123,854.98
  5. Step 5: Solve for x
    x = 235,123,854.98/19,661.86
  6. Step 6: Final answer
    x = 11,958.37

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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.