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Finding the Fourth Proportional to 11,656.00, 17,499.24 and 6,920.80

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Solution

The fourth proportional to 11,656.00, 17,499.24 and 6,920.80 is: 10,390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.00 : 17,499.24 = 6,920.80 : x
  2. Step 2: Convert to fraction form
    11,656.00/17,499.24 = 6,920.80/x
  3. Step 3: Cross multiply
    11,656.00x = 17,499.24 × 6,920.80
  4. Step 4: Simplify right side
    11,656.00x = 121,108,679.14
  5. Step 5: Solve for x
    x = 121,108,679.14/11,656.00
  6. Step 6: Final answer
    x = 10,390.25

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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.