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Finding the Fourth Proportional to 10,530.80, 15,791.28 and 3,865.65

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Solution

The fourth proportional to 10,530.80, 15,791.28 and 3,865.65 is: 5,796.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.80 : 15,791.28 = 3,865.65 : x
  2. Step 2: Convert to fraction form
    10,530.80/15,791.28 = 3,865.65/x
  3. Step 3: Cross multiply
    10,530.80x = 15,791.28 × 3,865.65
  4. Step 4: Simplify right side
    10,530.80x = 61,043,561.53
  5. Step 5: Solve for x
    x = 61,043,561.53/10,530.80
  6. Step 6: Final answer
    x = 5,796.67

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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.