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Finding the Fourth Proportional to 19,810, 27,338.48 and 13,358.32

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Solution

The fourth proportional to 19,810, 27,338.48 and 13,358.32 is: 18,434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,810 : 27,338.48 = 13,358.32 : x
  2. Step 2: Convert to fraction form
    19,810/27,338.48 = 13,358.32/x
  3. Step 3: Cross multiply
    19,810x = 27,338.48 × 13,358.32
  4. Step 4: Simplify right side
    19,810x = 365,196,164.15
  5. Step 5: Solve for x
    x = 365,196,164.15/19,810
  6. Step 6: Final answer
    x = 18,434.94

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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.