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Finding the Fourth Proportional to 2,525.50, 3,484.20 and 1,580.90

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Solution

The fourth proportional to 2,525.50, 3,484.20 and 1,580.90 is: 2,181.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.50 : 3,484.20 = 1,580.90 : x
  2. Step 2: Convert to fraction form
    2,525.50/3,484.20 = 1,580.90/x
  3. Step 3: Cross multiply
    2,525.50x = 3,484.20 × 1,580.90
  4. Step 4: Simplify right side
    2,525.50x = 5,508,171.78
  5. Step 5: Solve for x
    x = 5,508,171.78/2,525.50
  6. Step 6: Final answer
    x = 2,181.03

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