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Finding the Fourth Proportional to 13,107.81, 17,987.04 and 11,919.81

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Solution

The fourth proportional to 13,107.81, 17,987.04 and 11,919.81 is: 16,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.81 : 17,987.04 = 11,919.81 : x
  2. Step 2: Convert to fraction form
    13,107.81/17,987.04 = 11,919.81/x
  3. Step 3: Cross multiply
    13,107.81x = 17,987.04 × 11,919.81
  4. Step 4: Simplify right side
    13,107.81x = 214,402,099.26
  5. Step 5: Solve for x
    x = 214,402,099.26/13,107.81
  6. Step 6: Final answer
    x = 16,356.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.