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Finding the Fourth Proportional to 20,548, 28,360.08 and 11,716

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Solution

The fourth proportional to 20,548, 28,360.08 and 11,716 is: 16,170.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,548 : 28,360.08 = 11,716 : x
  2. Step 2: Convert to fraction form
    20,548/28,360.08 = 11,716/x
  3. Step 3: Cross multiply
    20,548x = 28,360.08 × 11,716
  4. Step 4: Simplify right side
    20,548x = 332,266,697.28
  5. Step 5: Solve for x
    x = 332,266,697.28/20,548
  6. Step 6: Final answer
    x = 16,170.27

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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.