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Finding the Fourth Proportional to 8,489, 11,723.46 and 8,431.40

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Solution

The fourth proportional to 8,489, 11,723.46 and 8,431.40 is: 11,643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489 : 11,723.46 = 8,431.40 : x
  2. Step 2: Convert to fraction form
    8,489/11,723.46 = 8,431.40/x
  3. Step 3: Cross multiply
    8,489x = 11,723.46 × 8,431.40
  4. Step 4: Simplify right side
    8,489x = 98,845,180.64
  5. Step 5: Solve for x
    x = 98,845,180.64/8,489
  6. Step 6: Final answer
    x = 11,643.91

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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.