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Finding the Fourth Proportional to 11,978.40, 17,965.28 and 3,656.40

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Solution

The fourth proportional to 11,978.40, 17,965.28 and 3,656.40 is: 5,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.40 : 17,965.28 = 3,656.40 : x
  2. Step 2: Convert to fraction form
    11,978.40/17,965.28 = 3,656.40/x
  3. Step 3: Cross multiply
    11,978.40x = 17,965.28 × 3,656.40
  4. Step 4: Simplify right side
    11,978.40x = 65,688,249.79
  5. Step 5: Solve for x
    x = 65,688,249.79/11,978.40
  6. Step 6: Final answer
    x = 5,483.89

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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.