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Finding the Fourth Proportional to 30,691.69, 46,037.40 and 8,505

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Solution

The fourth proportional to 30,691.69, 46,037.40 and 8,505 is: 12,757.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,691.69 : 46,037.40 = 8,505 : x
  2. Step 2: Convert to fraction form
    30,691.69/46,037.40 = 8,505/x
  3. Step 3: Cross multiply
    30,691.69x = 46,037.40 × 8,505
  4. Step 4: Simplify right side
    30,691.69x = 391,548,087
  5. Step 5: Solve for x
    x = 391,548,087/30,691.69
  6. Step 6: Final answer
    x = 12,757.46

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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.