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Finding the Fourth Proportional to 13,103.84, 19,629.84 and 6,157.28

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Solution

The fourth proportional to 13,103.84, 19,629.84 and 6,157.28 is: 9,223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103.84 : 19,629.84 = 6,157.28 : x
  2. Step 2: Convert to fraction form
    13,103.84/19,629.84 = 6,157.28/x
  3. Step 3: Cross multiply
    13,103.84x = 19,629.84 × 6,157.28
  4. Step 4: Simplify right side
    13,103.84x = 120,866,421.24
  5. Step 5: Solve for x
    x = 120,866,421.24/13,103.84
  6. Step 6: Final answer
    x = 9,223.74

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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.