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Finding the Fourth Proportional to 9,957.50, 13,741.07 and 5,419.98

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Solution

The fourth proportional to 9,957.50, 13,741.07 and 5,419.98 is: 7,479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.50 : 13,741.07 = 5,419.98 : x
  2. Step 2: Convert to fraction form
    9,957.50/13,741.07 = 5,419.98/x
  3. Step 3: Cross multiply
    9,957.50x = 13,741.07 × 5,419.98
  4. Step 4: Simplify right side
    9,957.50x = 74,476,324.58
  5. Step 5: Solve for x
    x = 74,476,324.58/9,957.50
  6. Step 6: Final answer
    x = 7,479.42

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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.