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Finding the Fourth Proportional to 12,748.36, 19,100.95 and 7,807.68

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Solution

The fourth proportional to 12,748.36, 19,100.95 and 7,807.68 is: 11,698.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,748.36 : 19,100.95 = 7,807.68 : x
  2. Step 2: Convert to fraction form
    12,748.36/19,100.95 = 7,807.68/x
  3. Step 3: Cross multiply
    12,748.36x = 19,100.95 × 7,807.68
  4. Step 4: Simplify right side
    12,748.36x = 149,134,105.30
  5. Step 5: Solve for x
    x = 149,134,105.30/12,748.36
  6. Step 6: Final answer
    x = 11,698.30

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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.