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Finding the Fourth Proportional to 20,602, 28,430.65 and 11,649.52

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Solution

The fourth proportional to 20,602, 28,430.65 and 11,649.52 is: 16,076.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,602 : 28,430.65 = 11,649.52 : x
  2. Step 2: Convert to fraction form
    20,602/28,430.65 = 11,649.52/x
  3. Step 3: Cross multiply
    20,602x = 28,430.65 × 11,649.52
  4. Step 4: Simplify right side
    20,602x = 331,203,425.79
  5. Step 5: Solve for x
    x = 331,203,425.79/20,602
  6. Step 6: Final answer
    x = 16,076.28

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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.