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Finding the Fourth Proportional to 2,402.90, 3,605.04 and 1,015.50

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Solution

The fourth proportional to 2,402.90, 3,605.04 and 1,015.50 is: 1,523.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.90 : 3,605.04 = 1,015.50 : x
  2. Step 2: Convert to fraction form
    2,402.90/3,605.04 = 1,015.50/x
  3. Step 3: Cross multiply
    2,402.90x = 3,605.04 × 1,015.50
  4. Step 4: Simplify right side
    2,402.90x = 3,660,918.12
  5. Step 5: Solve for x
    x = 3,660,918.12/2,402.90
  6. Step 6: Final answer
    x = 1,523.54

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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.