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Finding the Fourth Proportional to 11,961.60, 16,505.04 and 6,656.28

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Solution

The fourth proportional to 11,961.60, 16,505.04 and 6,656.28 is: 9,184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.60 : 16,505.04 = 6,656.28 : x
  2. Step 2: Convert to fraction form
    11,961.60/16,505.04 = 6,656.28/x
  3. Step 3: Cross multiply
    11,961.60x = 16,505.04 × 6,656.28
  4. Step 4: Simplify right side
    11,961.60x = 109,862,167.65
  5. Step 5: Solve for x
    x = 109,862,167.65/11,961.60
  6. Step 6: Final answer
    x = 9,184.57

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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.