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Finding the Fourth Proportional to 12,763.60, 19,151 and 4,969.72

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Solution

The fourth proportional to 12,763.60, 19,151 and 4,969.72 is: 7,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763.60 : 19,151 = 4,969.72 : x
  2. Step 2: Convert to fraction form
    12,763.60/19,151 = 4,969.72/x
  3. Step 3: Cross multiply
    12,763.60x = 19,151 × 4,969.72
  4. Step 4: Simplify right side
    12,763.60x = 95,175,107.72
  5. Step 5: Solve for x
    x = 95,175,107.72/12,763.60
  6. Step 6: Final answer
    x = 7,456.76

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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.