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Finding the Fourth Proportional to 5,286.28, 7,287.96 and 4,537

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Solution

The fourth proportional to 5,286.28, 7,287.96 and 4,537 is: 6,254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.28 : 7,287.96 = 4,537 : x
  2. Step 2: Convert to fraction form
    5,286.28/7,287.96 = 4,537/x
  3. Step 3: Cross multiply
    5,286.28x = 7,287.96 × 4,537
  4. Step 4: Simplify right side
    5,286.28x = 33,065,474.52
  5. Step 5: Solve for x
    x = 33,065,474.52/5,286.28
  6. Step 6: Final answer
    x = 6,254.96

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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.