Home / 10,023.12-15,036.57-3,096

Finding the Fourth Proportional to 10,023.12, 15,036.57 and 3,096

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Solution

The fourth proportional to 10,023.12, 15,036.57 and 3,096 is: 4,644.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.12 : 15,036.57 = 3,096 : x
  2. Step 2: Convert to fraction form
    10,023.12/15,036.57 = 3,096/x
  3. Step 3: Cross multiply
    10,023.12x = 15,036.57 × 3,096
  4. Step 4: Simplify right side
    10,023.12x = 46,553,220.72
  5. Step 5: Solve for x
    x = 46,553,220.72/10,023.12
  6. Step 6: Final answer
    x = 4,644.58

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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.