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Finding the Fourth Proportional to 11,618, 16,025.76 and 6,899.12

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Solution

The fourth proportional to 11,618, 16,025.76 and 6,899.12 is: 9,516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618 : 16,025.76 = 6,899.12 : x
  2. Step 2: Convert to fraction form
    11,618/16,025.76 = 6,899.12/x
  3. Step 3: Cross multiply
    11,618x = 16,025.76 × 6,899.12
  4. Step 4: Simplify right side
    11,618x = 110,563,641.33
  5. Step 5: Solve for x
    x = 110,563,641.33/11,618
  6. Step 6: Final answer
    x = 9,516.58

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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.