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Finding the Fourth Proportional to 10,762.30, 16,143.45 and 7,481.80

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Solution

The fourth proportional to 10,762.30, 16,143.45 and 7,481.80 is: 11,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.30 : 16,143.45 = 7,481.80 : x
  2. Step 2: Convert to fraction form
    10,762.30/16,143.45 = 7,481.80/x
  3. Step 3: Cross multiply
    10,762.30x = 16,143.45 × 7,481.80
  4. Step 4: Simplify right side
    10,762.30x = 120,782,064.21
  5. Step 5: Solve for x
    x = 120,782,064.21/10,762.30
  6. Step 6: Final answer
    x = 11,222.70

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1.5x scale

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.