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Finding the Fourth Proportional to 11,984.83, 17,978.81 and 6,430.57

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Solution

The fourth proportional to 11,984.83, 17,978.81 and 6,430.57 is: 9,646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,984.83 : 17,978.81 = 6,430.57 : x
  2. Step 2: Convert to fraction form
    11,984.83/17,978.81 = 6,430.57/x
  3. Step 3: Cross multiply
    11,984.83x = 17,978.81 × 6,430.57
  4. Step 4: Simplify right side
    11,984.83x = 115,613,919.12
  5. Step 5: Solve for x
    x = 115,613,919.12/11,984.83
  6. Step 6: Final answer
    x = 9,646.69

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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.