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Finding the Fourth Proportional to 13,622.96, 20,434.44 and 7,454

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Solution

The fourth proportional to 13,622.96, 20,434.44 and 7,454 is: 11,181

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,622.96 : 20,434.44 = 7,454 : x
  2. Step 2: Convert to fraction form
    13,622.96/20,434.44 = 7,454/x
  3. Step 3: Cross multiply
    13,622.96x = 20,434.44 × 7,454
  4. Step 4: Simplify right side
    13,622.96x = 152,318,315.76
  5. Step 5: Solve for x
    x = 152,318,315.76/13,622.96
  6. Step 6: Final answer
    x = 11,181

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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.