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Finding the Fourth Proportional to 2,362.02, 3,541.90 and 880.20

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Solution

The fourth proportional to 2,362.02, 3,541.90 and 880.20 is: 1,319.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.02 : 3,541.90 = 880.20 : x
  2. Step 2: Convert to fraction form
    2,362.02/3,541.90 = 880.20/x
  3. Step 3: Cross multiply
    2,362.02x = 3,541.90 × 880.20
  4. Step 4: Simplify right side
    2,362.02x = 3,117,580.38
  5. Step 5: Solve for x
    x = 3,117,580.38/2,362.02
  6. Step 6: Final answer
    x = 1,319.88

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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.