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Finding the Fourth Proportional to 11,996, 17,990.62 and 7,184.24

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Solution

The fourth proportional to 11,996, 17,990.62 and 7,184.24 is: 10,774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996 : 17,990.62 = 7,184.24 : x
  2. Step 2: Convert to fraction form
    11,996/17,990.62 = 7,184.24/x
  3. Step 3: Cross multiply
    11,996x = 17,990.62 × 7,184.24
  4. Step 4: Simplify right side
    11,996x = 129,248,931.83
  5. Step 5: Solve for x
    x = 129,248,931.83/11,996
  6. Step 6: Final answer
    x = 10,774.34

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1.5x scale

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.