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Finding the Fourth Proportional to 9,527.97, 13,136.40 and 7,399.90

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Solution

The fourth proportional to 9,527.97, 13,136.40 and 7,399.90 is: 10,202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.97 : 13,136.40 = 7,399.90 : x
  2. Step 2: Convert to fraction form
    9,527.97/13,136.40 = 7,399.90/x
  3. Step 3: Cross multiply
    9,527.97x = 13,136.40 × 7,399.90
  4. Step 4: Simplify right side
    9,527.97x = 97,208,046.36
  5. Step 5: Solve for x
    x = 97,208,046.36/9,527.97
  6. Step 6: Final answer
    x = 10,202.39

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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.