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Finding the Fourth Proportional to 2,525.50, 3,485.19 and 1,421.50

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Solution

The fourth proportional to 2,525.50, 3,485.19 and 1,421.50 is: 1,961.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.50 : 3,485.19 = 1,421.50 : x
  2. Step 2: Convert to fraction form
    2,525.50/3,485.19 = 1,421.50/x
  3. Step 3: Cross multiply
    2,525.50x = 3,485.19 × 1,421.50
  4. Step 4: Simplify right side
    2,525.50x = 4,954,197.59
  5. Step 5: Solve for x
    x = 4,954,197.59/2,525.50
  6. Step 6: Final answer
    x = 1,961.67

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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.