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Finding the Fourth Proportional to 3,627.50, 5,005.95 and 1,971.50

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Solution

The fourth proportional to 3,627.50, 5,005.95 and 1,971.50 is: 2,720.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.50 : 5,005.95 = 1,971.50 : x
  2. Step 2: Convert to fraction form
    3,627.50/5,005.95 = 1,971.50/x
  3. Step 3: Cross multiply
    3,627.50x = 5,005.95 × 1,971.50
  4. Step 4: Simplify right side
    3,627.50x = 9,869,230.43
  5. Step 5: Solve for x
    x = 9,869,230.43/3,627.50
  6. Step 6: Final answer
    x = 2,720.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.