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Finding the Fourth Proportional to 3,283.12, 4,530.56 and 1,791

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Solution

The fourth proportional to 3,283.12, 4,530.56 and 1,791 is: 2,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.12 : 4,530.56 = 1,791 : x
  2. Step 2: Convert to fraction form
    3,283.12/4,530.56 = 1,791/x
  3. Step 3: Cross multiply
    3,283.12x = 4,530.56 × 1,791
  4. Step 4: Simplify right side
    3,283.12x = 8,114,232.96
  5. Step 5: Solve for x
    x = 8,114,232.96/3,283.12
  6. Step 6: Final answer
    x = 2,471.50

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Why These Related Problems?

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