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Finding the Fourth Proportional to 30,945.25, 46,419.66 and 8,756.77

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Solution

The fourth proportional to 30,945.25, 46,419.66 and 8,756.77 is: 13,135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,945.25 : 46,419.66 = 8,756.77 : x
  2. Step 2: Convert to fraction form
    30,945.25/46,419.66 = 8,756.77/x
  3. Step 3: Cross multiply
    30,945.25x = 46,419.66 × 8,756.77
  4. Step 4: Simplify right side
    30,945.25x = 406,486,101.90
  5. Step 5: Solve for x
    x = 406,486,101.90/30,945.25
  6. Step 6: Final answer
    x = 13,135.65

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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.