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Finding the Fourth Proportional to 11,539.31, 17,324.31 and 7,803.64

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Solution

The fourth proportional to 11,539.31, 17,324.31 and 7,803.64 is: 11,715.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.31 : 17,324.31 = 7,803.64 : x
  2. Step 2: Convert to fraction form
    11,539.31/17,324.31 = 7,803.64/x
  3. Step 3: Cross multiply
    11,539.31x = 17,324.31 × 7,803.64
  4. Step 4: Simplify right side
    11,539.31x = 135,192,678.49
  5. Step 5: Solve for x
    x = 135,192,678.49/11,539.31
  6. Step 6: Final answer
    x = 11,715.84

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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.