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Finding the Fourth Proportional to 20,580, 28,407.36 and 12,824.88

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Solution

The fourth proportional to 20,580, 28,407.36 and 12,824.88 is: 17,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,580 : 28,407.36 = 12,824.88 : x
  2. Step 2: Convert to fraction form
    20,580/28,407.36 = 12,824.88/x
  3. Step 3: Cross multiply
    20,580x = 28,407.36 × 12,824.88
  4. Step 4: Simplify right side
    20,580x = 364,320,983.12
  5. Step 5: Solve for x
    x = 364,320,983.12/20,580
  6. Step 6: Final answer
    x = 17,702.67

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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.