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Finding the Fourth Proportional to 19,626, 27,083.76 and 11,129.76

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Solution

The fourth proportional to 19,626, 27,083.76 and 11,129.76 is: 15,359.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,626 : 27,083.76 = 11,129.76 : x
  2. Step 2: Convert to fraction form
    19,626/27,083.76 = 11,129.76/x
  3. Step 3: Cross multiply
    19,626x = 27,083.76 × 11,129.76
  4. Step 4: Simplify right side
    19,626x = 301,435,748.70
  5. Step 5: Solve for x
    x = 301,435,748.70/19,626
  6. Step 6: Final answer
    x = 15,359.00

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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.