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Finding the Fourth Proportional to 10,425.28, 14,387 and 5,709.44

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Solution

The fourth proportional to 10,425.28, 14,387 and 5,709.44 is: 7,879.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.28 : 14,387 = 5,709.44 : x
  2. Step 2: Convert to fraction form
    10,425.28/14,387 = 5,709.44/x
  3. Step 3: Cross multiply
    10,425.28x = 14,387 × 5,709.44
  4. Step 4: Simplify right side
    10,425.28x = 82,141,713.28
  5. Step 5: Solve for x
    x = 82,141,713.28/10,425.28
  6. Step 6: Final answer
    x = 7,879.09

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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.