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Finding the Fourth Proportional to 11,411, 17,117.12 and 3,620.44

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Solution

The fourth proportional to 11,411, 17,117.12 and 3,620.44 is: 5,430.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411 : 17,117.12 = 3,620.44 : x
  2. Step 2: Convert to fraction form
    11,411/17,117.12 = 3,620.44/x
  3. Step 3: Cross multiply
    11,411x = 17,117.12 × 3,620.44
  4. Step 4: Simplify right side
    11,411x = 61,971,505.93
  5. Step 5: Solve for x
    x = 61,971,505.93/11,411
  6. Step 6: Final answer
    x = 5,430.86

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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.