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Finding the Fourth Proportional to 9,825.78, 14,738.68 and 8,090.76

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Solution

The fourth proportional to 9,825.78, 14,738.68 and 8,090.76 is: 12,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.78 : 14,738.68 = 8,090.76 : x
  2. Step 2: Convert to fraction form
    9,825.78/14,738.68 = 8,090.76/x
  3. Step 3: Cross multiply
    9,825.78x = 14,738.68 × 8,090.76
  4. Step 4: Simplify right side
    9,825.78x = 119,247,122.60
  5. Step 5: Solve for x
    x = 119,247,122.60/9,825.78
  6. Step 6: Final answer
    x = 12,136.15

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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.