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Finding the Fourth Proportional to 11,620, 16,013.20 and 7,420.96

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Solution

The fourth proportional to 11,620, 16,013.20 and 7,420.96 is: 10,226.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620 : 16,013.20 = 7,420.96 : x
  2. Step 2: Convert to fraction form
    11,620/16,013.20 = 7,420.96/x
  3. Step 3: Cross multiply
    11,620x = 16,013.20 × 7,420.96
  4. Step 4: Simplify right side
    11,620x = 118,833,316.67
  5. Step 5: Solve for x
    x = 118,833,316.67/11,620
  6. Step 6: Final answer
    x = 10,226.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.