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Finding the Fourth Proportional to 34,493.60, 51,727.60 and 13,712.80

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Solution

The fourth proportional to 34,493.60, 51,727.60 and 13,712.80 is: 20,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,493.60 : 51,727.60 = 13,712.80 : x
  2. Step 2: Convert to fraction form
    34,493.60/51,727.60 = 13,712.80/x
  3. Step 3: Cross multiply
    34,493.60x = 51,727.60 × 13,712.80
  4. Step 4: Simplify right side
    34,493.60x = 709,330,233.28
  5. Step 5: Solve for x
    x = 709,330,233.28/34,493.60
  6. Step 6: Final answer
    x = 20,564.11

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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.