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Finding the Fourth Proportional to 8,287.12, 11,435.88 and 4,560.88

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Solution

The fourth proportional to 8,287.12, 11,435.88 and 4,560.88 is: 6,293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.12 : 11,435.88 = 4,560.88 : x
  2. Step 2: Convert to fraction form
    8,287.12/11,435.88 = 4,560.88/x
  3. Step 3: Cross multiply
    8,287.12x = 11,435.88 × 4,560.88
  4. Step 4: Simplify right side
    8,287.12x = 52,157,676.37
  5. Step 5: Solve for x
    x = 52,157,676.37/8,287.12
  6. Step 6: Final answer
    x = 6,293.82

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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.