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Finding the Fourth Proportional to 10,699.97, 16,027.09 and 8,689.60

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Solution

The fourth proportional to 10,699.97, 16,027.09 and 8,689.60 is: 13,015.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.97 : 16,027.09 = 8,689.60 : x
  2. Step 2: Convert to fraction form
    10,699.97/16,027.09 = 8,689.60/x
  3. Step 3: Cross multiply
    10,699.97x = 16,027.09 × 8,689.60
  4. Step 4: Simplify right side
    10,699.97x = 139,268,909.42
  5. Step 5: Solve for x
    x = 139,268,909.42/10,699.97
  6. Step 6: Final answer
    x = 13,015.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.