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Finding the Fourth Proportional to 9,866.90, 14,786.37 and 8,694.42

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Solution

The fourth proportional to 9,866.90, 14,786.37 and 8,694.42 is: 13,029.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.90 : 14,786.37 = 8,694.42 : x
  2. Step 2: Convert to fraction form
    9,866.90/14,786.37 = 8,694.42/x
  3. Step 3: Cross multiply
    9,866.90x = 14,786.37 × 8,694.42
  4. Step 4: Simplify right side
    9,866.90x = 128,558,911.06
  5. Step 5: Solve for x
    x = 128,558,911.06/9,866.90
  6. Step 6: Final answer
    x = 13,029.32

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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.