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Finding the Fourth Proportional to 3,501.52, 4,832.72 and 2,242.20

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Solution

The fourth proportional to 3,501.52, 4,832.72 and 2,242.20 is: 3,094.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.52 : 4,832.72 = 2,242.20 : x
  2. Step 2: Convert to fraction form
    3,501.52/4,832.72 = 2,242.20/x
  3. Step 3: Cross multiply
    3,501.52x = 4,832.72 × 2,242.20
  4. Step 4: Simplify right side
    3,501.52x = 10,835,924.78
  5. Step 5: Solve for x
    x = 10,835,924.78/3,501.52
  6. Step 6: Final answer
    x = 3,094.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.