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Finding the Fourth Proportional to 11,620, 17,420.20 and 5,041.24

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Solution

The fourth proportional to 11,620, 17,420.20 and 5,041.24 is: 7,557.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620 : 17,420.20 = 5,041.24 : x
  2. Step 2: Convert to fraction form
    11,620/17,420.20 = 5,041.24/x
  3. Step 3: Cross multiply
    11,620x = 17,420.20 × 5,041.24
  4. Step 4: Simplify right side
    11,620x = 87,819,409.05
  5. Step 5: Solve for x
    x = 87,819,409.05/11,620
  6. Step 6: Final answer
    x = 7,557.61

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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.