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Finding the Fourth Proportional to 11,985.86, 17,978.64 and 3,666.15

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Solution

The fourth proportional to 11,985.86, 17,978.64 and 3,666.15 is: 5,499.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,985.86 : 17,978.64 = 3,666.15 : x
  2. Step 2: Convert to fraction form
    11,985.86/17,978.64 = 3,666.15/x
  3. Step 3: Cross multiply
    11,985.86x = 17,978.64 × 3,666.15
  4. Step 4: Simplify right side
    11,985.86x = 65,912,391.04
  5. Step 5: Solve for x
    x = 65,912,391.04/11,985.86
  6. Step 6: Final answer
    x = 5,499.18

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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.