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Finding the Fourth Proportional to 11,447.10, 17,165.49 and 4,869.90

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Solution

The fourth proportional to 11,447.10, 17,165.49 and 4,869.90 is: 7,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.10 : 17,165.49 = 4,869.90 : x
  2. Step 2: Convert to fraction form
    11,447.10/17,165.49 = 4,869.90/x
  3. Step 3: Cross multiply
    11,447.10x = 17,165.49 × 4,869.90
  4. Step 4: Simplify right side
    11,447.10x = 83,594,219.75
  5. Step 5: Solve for x
    x = 83,594,219.75/11,447.10
  6. Step 6: Final answer
    x = 7,302.65

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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.