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Finding the Fourth Proportional to 9,085, 13,627.50 and 2,929

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Solution

The fourth proportional to 9,085, 13,627.50 and 2,929 is: 4,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085 : 13,627.50 = 2,929 : x
  2. Step 2: Convert to fraction form
    9,085/13,627.50 = 2,929/x
  3. Step 3: Cross multiply
    9,085x = 13,627.50 × 2,929
  4. Step 4: Simplify right side
    9,085x = 39,914,947.50
  5. Step 5: Solve for x
    x = 39,914,947.50/9,085
  6. Step 6: Final answer
    x = 4,393.50

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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.