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Finding the Fourth Proportional to 20,564.71, 30,828.60 and 7,407.88

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Solution

The fourth proportional to 20,564.71, 30,828.60 and 7,407.88 is: 11,105.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.71 : 30,828.60 = 7,407.88 : x
  2. Step 2: Convert to fraction form
    20,564.71/30,828.60 = 7,407.88/x
  3. Step 3: Cross multiply
    20,564.71x = 30,828.60 × 7,407.88
  4. Step 4: Simplify right side
    20,564.71x = 228,374,569.37
  5. Step 5: Solve for x
    x = 228,374,569.37/20,564.71
  6. Step 6: Final answer
    x = 11,105.17

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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.