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Finding the Fourth Proportional to 10,530, 15,792.87 and 3,864.23

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Solution

The fourth proportional to 10,530, 15,792.87 and 3,864.23 is: 5,795.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530 : 15,792.87 = 3,864.23 : x
  2. Step 2: Convert to fraction form
    10,530/15,792.87 = 3,864.23/x
  3. Step 3: Cross multiply
    10,530x = 15,792.87 × 3,864.23
  4. Step 4: Simplify right side
    10,530x = 61,027,203.08
  5. Step 5: Solve for x
    x = 61,027,203.08/10,530
  6. Step 6: Final answer
    x = 5,795.56

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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.