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Finding the Fourth Proportional to 11,509.78, 15,882.34 and 6,473.20

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Solution

The fourth proportional to 11,509.78, 15,882.34 and 6,473.20 is: 8,932.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.78 : 15,882.34 = 6,473.20 : x
  2. Step 2: Convert to fraction form
    11,509.78/15,882.34 = 6,473.20/x
  3. Step 3: Cross multiply
    11,509.78x = 15,882.34 × 6,473.20
  4. Step 4: Simplify right side
    11,509.78x = 102,809,563.29
  5. Step 5: Solve for x
    x = 102,809,563.29/11,509.78
  6. Step 6: Final answer
    x = 8,932.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.