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Finding the Fourth Proportional to 11,651.60, 16,080.64 and 6,617.40

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Solution

The fourth proportional to 11,651.60, 16,080.64 and 6,617.40 is: 9,132.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.60 : 16,080.64 = 6,617.40 : x
  2. Step 2: Convert to fraction form
    11,651.60/16,080.64 = 6,617.40/x
  3. Step 3: Cross multiply
    11,651.60x = 16,080.64 × 6,617.40
  4. Step 4: Simplify right side
    11,651.60x = 106,412,027.14
  5. Step 5: Solve for x
    x = 106,412,027.14/11,651.60
  6. Step 6: Final answer
    x = 9,132.83

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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.