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Finding the Fourth Proportional to 9,782.71, 14,694.36 and 7,910.71

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Solution

The fourth proportional to 9,782.71, 14,694.36 and 7,910.71 is: 11,882.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.71 : 14,694.36 = 7,910.71 : x
  2. Step 2: Convert to fraction form
    9,782.71/14,694.36 = 7,910.71/x
  3. Step 3: Cross multiply
    9,782.71x = 14,694.36 × 7,910.71
  4. Step 4: Simplify right side
    9,782.71x = 116,242,820.60
  5. Step 5: Solve for x
    x = 116,242,820.60/9,782.71
  6. Step 6: Final answer
    x = 11,882.48

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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.