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Finding the Fourth Proportional to 11,837.60, 17,756.40 and 6,642.80

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Solution

The fourth proportional to 11,837.60, 17,756.40 and 6,642.80 is: 9,964.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837.60 : 17,756.40 = 6,642.80 : x
  2. Step 2: Convert to fraction form
    11,837.60/17,756.40 = 6,642.80/x
  3. Step 3: Cross multiply
    11,837.60x = 17,756.40 × 6,642.80
  4. Step 4: Simplify right side
    11,837.60x = 117,952,213.92
  5. Step 5: Solve for x
    x = 117,952,213.92/11,837.60
  6. Step 6: Final answer
    x = 9,964.20

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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.