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Finding the Fourth Proportional to 9,838.40, 13,576.94 and 5,648

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Solution

The fourth proportional to 9,838.40, 13,576.94 and 5,648 is: 7,794.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.40 : 13,576.94 = 5,648 : x
  2. Step 2: Convert to fraction form
    9,838.40/13,576.94 = 5,648/x
  3. Step 3: Cross multiply
    9,838.40x = 13,576.94 × 5,648
  4. Step 4: Simplify right side
    9,838.40x = 76,682,557.12
  5. Step 5: Solve for x
    x = 76,682,557.12/9,838.40
  6. Step 6: Final answer
    x = 7,794.21

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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.