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Finding the Fourth Proportional to 20,412, 28,168.56 and 11,580

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Solution

The fourth proportional to 20,412, 28,168.56 and 11,580 is: 15,980.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,412 : 28,168.56 = 11,580 : x
  2. Step 2: Convert to fraction form
    20,412/28,168.56 = 11,580/x
  3. Step 3: Cross multiply
    20,412x = 28,168.56 × 11,580
  4. Step 4: Simplify right side
    20,412x = 326,191,924.80
  5. Step 5: Solve for x
    x = 326,191,924.80/20,412
  6. Step 6: Final answer
    x = 15,980.40

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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.