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Finding the Fourth Proportional to 11,402.60, 15,736.36 and 6,367.80

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Solution

The fourth proportional to 11,402.60, 15,736.36 and 6,367.80 is: 8,788.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.60 : 15,736.36 = 6,367.80 : x
  2. Step 2: Convert to fraction form
    11,402.60/15,736.36 = 6,367.80/x
  3. Step 3: Cross multiply
    11,402.60x = 15,736.36 × 6,367.80
  4. Step 4: Simplify right side
    11,402.60x = 100,205,993.21
  5. Step 5: Solve for x
    x = 100,205,993.21/11,402.60
  6. Step 6: Final answer
    x = 8,788.00

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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.