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Finding the Fourth Proportional to 11,713.34, 17,569.77 and 4,787.90

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Solution

The fourth proportional to 11,713.34, 17,569.77 and 4,787.90 is: 7,181.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.34 : 17,569.77 = 4,787.90 : x
  2. Step 2: Convert to fraction form
    11,713.34/17,569.77 = 4,787.90/x
  3. Step 3: Cross multiply
    11,713.34x = 17,569.77 × 4,787.90
  4. Step 4: Simplify right side
    11,713.34x = 84,122,301.78
  5. Step 5: Solve for x
    x = 84,122,301.78/11,713.34
  6. Step 6: Final answer
    x = 7,181.75

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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.