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Finding the Fourth Proportional to 5,278, 7,283.64 and 3,182.56

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Solution

The fourth proportional to 5,278, 7,283.64 and 3,182.56 is: 4,391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278 : 7,283.64 = 3,182.56 : x
  2. Step 2: Convert to fraction form
    5,278/7,283.64 = 3,182.56/x
  3. Step 3: Cross multiply
    5,278x = 7,283.64 × 3,182.56
  4. Step 4: Simplify right side
    5,278x = 23,180,621.32
  5. Step 5: Solve for x
    x = 23,180,621.32/5,278
  6. Step 6: Final answer
    x = 4,391.93

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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.