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Finding the Fourth Proportional to 30,655, 45,982.50 and 8,767

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Solution

The fourth proportional to 30,655, 45,982.50 and 8,767 is: 13,150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,655 : 45,982.50 = 8,767 : x
  2. Step 2: Convert to fraction form
    30,655/45,982.50 = 8,767/x
  3. Step 3: Cross multiply
    30,655x = 45,982.50 × 8,767
  4. Step 4: Simplify right side
    30,655x = 403,128,577.50
  5. Step 5: Solve for x
    x = 403,128,577.50/30,655
  6. Step 6: Final answer
    x = 13,150.50

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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.