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Finding the Fourth Proportional to 2,447.56, 3,670.56 and 803.20

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Solution

The fourth proportional to 2,447.56, 3,670.56 and 803.20 is: 1,204.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.56 : 3,670.56 = 803.20 : x
  2. Step 2: Convert to fraction form
    2,447.56/3,670.56 = 803.20/x
  3. Step 3: Cross multiply
    2,447.56x = 3,670.56 × 803.20
  4. Step 4: Simplify right side
    2,447.56x = 2,948,193.79
  5. Step 5: Solve for x
    x = 2,948,193.79/2,447.56
  6. Step 6: Final answer
    x = 1,204.54

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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.