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Finding the Fourth Proportional to 20,406.96, 28,162.68 and 11,454

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Solution

The fourth proportional to 20,406.96, 28,162.68 and 11,454 is: 15,807.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,406.96 : 28,162.68 = 11,454 : x
  2. Step 2: Convert to fraction form
    20,406.96/28,162.68 = 11,454/x
  3. Step 3: Cross multiply
    20,406.96x = 28,162.68 × 11,454
  4. Step 4: Simplify right side
    20,406.96x = 322,575,336.72
  5. Step 5: Solve for x
    x = 322,575,336.72/20,406.96
  6. Step 6: Final answer
    x = 15,807.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.