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Finding the Fourth Proportional to 13,365.68, 20,049 and 4,005.80

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Solution

The fourth proportional to 13,365.68, 20,049 and 4,005.80 is: 6,008.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,365.68 : 20,049 = 4,005.80 : x
  2. Step 2: Convert to fraction form
    13,365.68/20,049 = 4,005.80/x
  3. Step 3: Cross multiply
    13,365.68x = 20,049 × 4,005.80
  4. Step 4: Simplify right side
    13,365.68x = 80,312,284.20
  5. Step 5: Solve for x
    x = 80,312,284.20/13,365.68
  6. Step 6: Final answer
    x = 6,008.84

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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.