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Finding the Fourth Proportional to 7,592, 11,389.92 and 2,120

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Solution

The fourth proportional to 7,592, 11,389.92 and 2,120 is: 3,180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592 : 11,389.92 = 2,120 : x
  2. Step 2: Convert to fraction form
    7,592/11,389.92 = 2,120/x
  3. Step 3: Cross multiply
    7,592x = 11,389.92 × 2,120
  4. Step 4: Simplify right side
    7,592x = 24,146,630.40
  5. Step 5: Solve for x
    x = 24,146,630.40/7,592
  6. Step 6: Final answer
    x = 3,180.54

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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.