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Finding the Fourth Proportional to 11,496.57, 15,865.26 and 6,719.80

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Solution

The fourth proportional to 11,496.57, 15,865.26 and 6,719.80 is: 9,273.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.57 : 15,865.26 = 6,719.80 : x
  2. Step 2: Convert to fraction form
    11,496.57/15,865.26 = 6,719.80/x
  3. Step 3: Cross multiply
    11,496.57x = 15,865.26 × 6,719.80
  4. Step 4: Simplify right side
    11,496.57x = 106,611,374.15
  5. Step 5: Solve for x
    x = 106,611,374.15/11,496.57
  6. Step 6: Final answer
    x = 9,273.32

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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.