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Finding the Fourth Proportional to 30,661, 45,991.50 and 8,773

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Solution

The fourth proportional to 30,661, 45,991.50 and 8,773 is: 13,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,661 : 45,991.50 = 8,773 : x
  2. Step 2: Convert to fraction form
    30,661/45,991.50 = 8,773/x
  3. Step 3: Cross multiply
    30,661x = 45,991.50 × 8,773
  4. Step 4: Simplify right side
    30,661x = 403,483,429.50
  5. Step 5: Solve for x
    x = 403,483,429.50/30,661
  6. Step 6: Final answer
    x = 13,159.50

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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.