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Finding the Fourth Proportional to 11,457.05, 15,818.09 and 7,213.86

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Solution

The fourth proportional to 11,457.05, 15,818.09 and 7,213.86 is: 9,959.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.05 : 15,818.09 = 7,213.86 : x
  2. Step 2: Convert to fraction form
    11,457.05/15,818.09 = 7,213.86/x
  3. Step 3: Cross multiply
    11,457.05x = 15,818.09 × 7,213.86
  4. Step 4: Simplify right side
    11,457.05x = 114,109,450.66
  5. Step 5: Solve for x
    x = 114,109,450.66/11,457.05
  6. Step 6: Final answer
    x = 9,959.76

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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.