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Finding the Fourth Proportional to 12,614.67, 18,922.14 and 4,294.89

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Solution

The fourth proportional to 12,614.67, 18,922.14 and 4,294.89 is: 6,442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.67 : 18,922.14 = 4,294.89 : x
  2. Step 2: Convert to fraction form
    12,614.67/18,922.14 = 4,294.89/x
  3. Step 3: Cross multiply
    12,614.67x = 18,922.14 × 4,294.89
  4. Step 4: Simplify right side
    12,614.67x = 81,268,509.86
  5. Step 5: Solve for x
    x = 81,268,509.86/12,614.67
  6. Step 6: Final answer
    x = 6,442.38

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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.