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Finding the Fourth Proportional to 9,946.32, 13,728 and 9,634.08

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Solution

The fourth proportional to 9,946.32, 13,728 and 9,634.08 is: 13,297.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.32 : 13,728 = 9,634.08 : x
  2. Step 2: Convert to fraction form
    9,946.32/13,728 = 9,634.08/x
  3. Step 3: Cross multiply
    9,946.32x = 13,728 × 9,634.08
  4. Step 4: Simplify right side
    9,946.32x = 132,256,650.24
  5. Step 5: Solve for x
    x = 132,256,650.24/9,946.32
  6. Step 6: Final answer
    x = 13,297.04

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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.