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Finding the Fourth Proportional to 2,652.35, 3,980.49 and 1,012.10

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Solution

The fourth proportional to 2,652.35, 3,980.49 and 1,012.10 is: 1,518.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.35 : 3,980.49 = 1,012.10 : x
  2. Step 2: Convert to fraction form
    2,652.35/3,980.49 = 1,012.10/x
  3. Step 3: Cross multiply
    2,652.35x = 3,980.49 × 1,012.10
  4. Step 4: Simplify right side
    2,652.35x = 4,028,634.03
  5. Step 5: Solve for x
    x = 4,028,634.03/2,652.35
  6. Step 6: Final answer
    x = 1,518.90

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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.