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Finding the Fourth Proportional to 9,460.56, 14,200.53 and 7,811.85

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Solution

The fourth proportional to 9,460.56, 14,200.53 and 7,811.85 is: 11,725.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.56 : 14,200.53 = 7,811.85 : x
  2. Step 2: Convert to fraction form
    9,460.56/14,200.53 = 7,811.85/x
  3. Step 3: Cross multiply
    9,460.56x = 14,200.53 × 7,811.85
  4. Step 4: Simplify right side
    9,460.56x = 110,932,410.28
  5. Step 5: Solve for x
    x = 110,932,410.28/9,460.56
  6. Step 6: Final answer
    x = 11,725.78

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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.