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Finding the Fourth Proportional to 11,411.16, 17,119.17 and 4,837.20

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Solution

The fourth proportional to 11,411.16, 17,119.17 and 4,837.20 is: 7,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.16 : 17,119.17 = 4,837.20 : x
  2. Step 2: Convert to fraction form
    11,411.16/17,119.17 = 4,837.20/x
  3. Step 3: Cross multiply
    11,411.16x = 17,119.17 × 4,837.20
  4. Step 4: Simplify right side
    11,411.16x = 82,808,849.12
  5. Step 5: Solve for x
    x = 82,808,849.12/11,411.16
  6. Step 6: Final answer
    x = 7,256.83

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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.