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Finding the Fourth Proportional to 2,402.42, 3,603.80 and 1,015.90

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Solution

The fourth proportional to 2,402.42, 3,603.80 and 1,015.90 is: 1,523.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.42 : 3,603.80 = 1,015.90 : x
  2. Step 2: Convert to fraction form
    2,402.42/3,603.80 = 1,015.90/x
  3. Step 3: Cross multiply
    2,402.42x = 3,603.80 × 1,015.90
  4. Step 4: Simplify right side
    2,402.42x = 3,661,100.42
  5. Step 5: Solve for x
    x = 3,661,100.42/2,402.42
  6. Step 6: Final answer
    x = 1,523.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.