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Finding the Fourth Proportional to 20,649.60, 31,006.80 and 11,901.60

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Solution

The fourth proportional to 20,649.60, 31,006.80 and 11,901.60 is: 17,871.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,649.60 : 31,006.80 = 11,901.60 : x
  2. Step 2: Convert to fraction form
    20,649.60/31,006.80 = 11,901.60/x
  3. Step 3: Cross multiply
    20,649.60x = 31,006.80 × 11,901.60
  4. Step 4: Simplify right side
    20,649.60x = 369,030,530.88
  5. Step 5: Solve for x
    x = 369,030,530.88/20,649.60
  6. Step 6: Final answer
    x = 17,871.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.