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Finding the Fourth Proportional to 9,725, 13,419.70 and 5,474.71

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Solution

The fourth proportional to 9,725, 13,419.70 and 5,474.71 is: 7,554.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725 : 13,419.70 = 5,474.71 : x
  2. Step 2: Convert to fraction form
    9,725/13,419.70 = 5,474.71/x
  3. Step 3: Cross multiply
    9,725x = 13,419.70 × 5,474.71
  4. Step 4: Simplify right side
    9,725x = 73,468,898.69
  5. Step 5: Solve for x
    x = 73,468,898.69/9,725
  6. Step 6: Final answer
    x = 7,554.64

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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.