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Finding the Fourth Proportional to 10,495.56, 15,709.32 and 7,721.64

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Solution

The fourth proportional to 10,495.56, 15,709.32 and 7,721.64 is: 11,557.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.56 : 15,709.32 = 7,721.64 : x
  2. Step 2: Convert to fraction form
    10,495.56/15,709.32 = 7,721.64/x
  3. Step 3: Cross multiply
    10,495.56x = 15,709.32 × 7,721.64
  4. Step 4: Simplify right side
    10,495.56x = 121,301,713.68
  5. Step 5: Solve for x
    x = 121,301,713.68/10,495.56
  6. Step 6: Final answer
    x = 11,557.43

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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.