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Finding the Fourth Proportional to 13,291.83, 19,918.93 and 7,371.32

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Solution

The fourth proportional to 13,291.83, 19,918.93 and 7,371.32 is: 11,046.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,291.83 : 19,918.93 = 7,371.32 : x
  2. Step 2: Convert to fraction form
    13,291.83/19,918.93 = 7,371.32/x
  3. Step 3: Cross multiply
    13,291.83x = 19,918.93 × 7,371.32
  4. Step 4: Simplify right side
    13,291.83x = 146,828,707.49
  5. Step 5: Solve for x
    x = 146,828,707.49/13,291.83
  6. Step 6: Final answer
    x = 11,046.54

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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.