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Finding the Fourth Proportional to 21,462, 32,195.76 and 7,611.12

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Solution

The fourth proportional to 21,462, 32,195.76 and 7,611.12 is: 11,417.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,462 : 32,195.76 = 7,611.12 : x
  2. Step 2: Convert to fraction form
    21,462/32,195.76 = 7,611.12/x
  3. Step 3: Cross multiply
    21,462x = 32,195.76 × 7,611.12
  4. Step 4: Simplify right side
    21,462x = 245,045,792.85
  5. Step 5: Solve for x
    x = 245,045,792.85/21,462
  6. Step 6: Final answer
    x = 11,417.66

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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.