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Finding the Fourth Proportional to 11,412.90, 17,119.11 and 5,256.90

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Solution

The fourth proportional to 11,412.90, 17,119.11 and 5,256.90 is: 7,885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.90 : 17,119.11 = 5,256.90 : x
  2. Step 2: Convert to fraction form
    11,412.90/17,119.11 = 5,256.90/x
  3. Step 3: Cross multiply
    11,412.90x = 17,119.11 × 5,256.90
  4. Step 4: Simplify right side
    11,412.90x = 89,993,449.36
  5. Step 5: Solve for x
    x = 89,993,449.36/11,412.90
  6. Step 6: Final answer
    x = 7,885.24

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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.