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Finding the Fourth Proportional to 9,027.86, 12,457.80 and 8,284.28

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Solution

The fourth proportional to 9,027.86, 12,457.80 and 8,284.28 is: 11,431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027.86 : 12,457.80 = 8,284.28 : x
  2. Step 2: Convert to fraction form
    9,027.86/12,457.80 = 8,284.28/x
  3. Step 3: Cross multiply
    9,027.86x = 12,457.80 × 8,284.28
  4. Step 4: Simplify right side
    9,027.86x = 103,203,841.10
  5. Step 5: Solve for x
    x = 103,203,841.10/9,027.86
  6. Step 6: Final answer
    x = 11,431.71

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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.