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Finding the Fourth Proportional to 19,308.75, 28,965.60 and 5,457.75

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Solution

The fourth proportional to 19,308.75, 28,965.60 and 5,457.75 is: 8,187.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,308.75 : 28,965.60 = 5,457.75 : x
  2. Step 2: Convert to fraction form
    19,308.75/28,965.60 = 5,457.75/x
  3. Step 3: Cross multiply
    19,308.75x = 28,965.60 × 5,457.75
  4. Step 4: Simplify right side
    19,308.75x = 158,087,003.40
  5. Step 5: Solve for x
    x = 158,087,003.40/19,308.75
  6. Step 6: Final answer
    x = 8,187.32

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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.