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Finding the Fourth Proportional to 9,308.82, 13,967 and 5,978.77

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Solution

The fourth proportional to 9,308.82, 13,967 and 5,978.77 is: 8,970.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.82 : 13,967 = 5,978.77 : x
  2. Step 2: Convert to fraction form
    9,308.82/13,967 = 5,978.77/x
  3. Step 3: Cross multiply
    9,308.82x = 13,967 × 5,978.77
  4. Step 4: Simplify right side
    9,308.82x = 83,505,480.59
  5. Step 5: Solve for x
    x = 83,505,480.59/9,308.82
  6. Step 6: Final answer
    x = 8,970.58

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1.5x scale

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.