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Finding the Fourth Proportional to 11,988.64, 17,985.20 and 4,090.40

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Solution

The fourth proportional to 11,988.64, 17,985.20 and 4,090.40 is: 6,136.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,988.64 : 17,985.20 = 4,090.40 : x
  2. Step 2: Convert to fraction form
    11,988.64/17,985.20 = 4,090.40/x
  3. Step 3: Cross multiply
    11,988.64x = 17,985.20 × 4,090.40
  4. Step 4: Simplify right side
    11,988.64x = 73,566,662.08
  5. Step 5: Solve for x
    x = 73,566,662.08/11,988.64
  6. Step 6: Final answer
    x = 6,136.36

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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.