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Finding the Fourth Proportional to 11,991.87, 17,987.19 and 4,200.07

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Solution

The fourth proportional to 11,991.87, 17,987.19 and 4,200.07 is: 6,299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.87 : 17,987.19 = 4,200.07 : x
  2. Step 2: Convert to fraction form
    11,991.87/17,987.19 = 4,200.07/x
  3. Step 3: Cross multiply
    11,991.87x = 17,987.19 × 4,200.07
  4. Step 4: Simplify right side
    11,991.87x = 75,547,457.10
  5. Step 5: Solve for x
    x = 75,547,457.10/11,991.87
  6. Step 6: Final answer
    x = 6,299.89

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1.5x scale

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.