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Finding the Fourth Proportional to 9,098.24, 13,640 and 3,907.76

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Solution

The fourth proportional to 9,098.24, 13,640 and 3,907.76 is: 5,858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.24 : 13,640 = 3,907.76 : x
  2. Step 2: Convert to fraction form
    9,098.24/13,640 = 3,907.76/x
  3. Step 3: Cross multiply
    9,098.24x = 13,640 × 3,907.76
  4. Step 4: Simplify right side
    9,098.24x = 53,301,846.40
  5. Step 5: Solve for x
    x = 53,301,846.40/9,098.24
  6. Step 6: Final answer
    x = 5,858.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.