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Finding the Fourth Proportional to 10,286.44, 15,411.74 and 6,393.64

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Solution

The fourth proportional to 10,286.44, 15,411.74 and 6,393.64 is: 9,579.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.44 : 15,411.74 = 6,393.64 : x
  2. Step 2: Convert to fraction form
    10,286.44/15,411.74 = 6,393.64/x
  3. Step 3: Cross multiply
    10,286.44x = 15,411.74 × 6,393.64
  4. Step 4: Simplify right side
    10,286.44x = 98,537,117.33
  5. Step 5: Solve for x
    x = 98,537,117.33/10,286.44
  6. Step 6: Final answer
    x = 9,579.32

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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.