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Finding the Fourth Proportional to 13,353, 20,041.53 and 7,118.21

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Solution

The fourth proportional to 13,353, 20,041.53 and 7,118.21 is: 10,683.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,353 : 20,041.53 = 7,118.21 : x
  2. Step 2: Convert to fraction form
    13,353/20,041.53 = 7,118.21/x
  3. Step 3: Cross multiply
    13,353x = 20,041.53 × 7,118.21
  4. Step 4: Simplify right side
    13,353x = 142,659,719.05
  5. Step 5: Solve for x
    x = 142,659,719.05/13,353
  6. Step 6: Final answer
    x = 10,683.72

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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.