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Finding the Fourth Proportional to 9,715.88, 13,407.38 and 5,735.54

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Solution

The fourth proportional to 9,715.88, 13,407.38 and 5,735.54 is: 7,914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.88 : 13,407.38 = 5,735.54 : x
  2. Step 2: Convert to fraction form
    9,715.88/13,407.38 = 5,735.54/x
  3. Step 3: Cross multiply
    9,715.88x = 13,407.38 × 5,735.54
  4. Step 4: Simplify right side
    9,715.88x = 76,898,564.29
  5. Step 5: Solve for x
    x = 76,898,564.29/9,715.88
  6. Step 6: Final answer
    x = 7,914.73

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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.