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Finding the Fourth Proportional to 19,782, 27,299.16 and 11,399.04

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Solution

The fourth proportional to 19,782, 27,299.16 and 11,399.04 is: 15,730.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782 : 27,299.16 = 11,399.04 : x
  2. Step 2: Convert to fraction form
    19,782/27,299.16 = 11,399.04/x
  3. Step 3: Cross multiply
    19,782x = 27,299.16 × 11,399.04
  4. Step 4: Simplify right side
    19,782x = 311,184,216.81
  5. Step 5: Solve for x
    x = 311,184,216.81/19,782
  6. Step 6: Final answer
    x = 15,730.68

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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.