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Finding the Fourth Proportional to 11,150, 15,389.28 and 6,433.64

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Solution

The fourth proportional to 11,150, 15,389.28 and 6,433.64 is: 8,879.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,150 : 15,389.28 = 6,433.64 : x
  2. Step 2: Convert to fraction form
    11,150/15,389.28 = 6,433.64/x
  3. Step 3: Cross multiply
    11,150x = 15,389.28 × 6,433.64
  4. Step 4: Simplify right side
    11,150x = 99,009,087.38
  5. Step 5: Solve for x
    x = 99,009,087.38/11,150
  6. Step 6: Final answer
    x = 8,879.74

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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.