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Finding the Fourth Proportional to 10,530, 15,782.70 and 5,847.80

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Solution

The fourth proportional to 10,530, 15,782.70 and 5,847.80 is: 8,764.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530 : 15,782.70 = 5,847.80 : x
  2. Step 2: Convert to fraction form
    10,530/15,782.70 = 5,847.80/x
  3. Step 3: Cross multiply
    10,530x = 15,782.70 × 5,847.80
  4. Step 4: Simplify right side
    10,530x = 92,293,983.18
  5. Step 5: Solve for x
    x = 92,293,983.18/10,530
  6. Step 6: Final answer
    x = 8,764.86

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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.