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Finding the Fourth Proportional to 20,564.80, 30,836.40 and 7,415.20

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Solution

The fourth proportional to 20,564.80, 30,836.40 and 7,415.20 is: 11,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.80 : 30,836.40 = 7,415.20 : x
  2. Step 2: Convert to fraction form
    20,564.80/30,836.40 = 7,415.20/x
  3. Step 3: Cross multiply
    20,564.80x = 30,836.40 × 7,415.20
  4. Step 4: Simplify right side
    20,564.80x = 228,658,073.28
  5. Step 5: Solve for x
    x = 228,658,073.28/20,564.80
  6. Step 6: Final answer
    x = 11,118.91

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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.