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Finding the Fourth Proportional to 11,682, 17,522.36 and 4,762.32

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Solution

The fourth proportional to 11,682, 17,522.36 and 4,762.32 is: 7,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682 : 17,522.36 = 4,762.32 : x
  2. Step 2: Convert to fraction form
    11,682/17,522.36 = 4,762.32/x
  3. Step 3: Cross multiply
    11,682x = 17,522.36 × 4,762.32
  4. Step 4: Simplify right side
    11,682x = 83,447,085.48
  5. Step 5: Solve for x
    x = 83,447,085.48/11,682
  6. Step 6: Final answer
    x = 7,143.22

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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.