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Finding the Fourth Proportional to 5,271.38, 7,274.38 and 2,913.46

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Solution

The fourth proportional to 5,271.38, 7,274.38 and 2,913.46 is: 4,020.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.38 : 7,274.38 = 2,913.46 : x
  2. Step 2: Convert to fraction form
    5,271.38/7,274.38 = 2,913.46/x
  3. Step 3: Cross multiply
    5,271.38x = 7,274.38 × 2,913.46
  4. Step 4: Simplify right side
    5,271.38x = 21,193,615.15
  5. Step 5: Solve for x
    x = 21,193,615.15/5,271.38
  6. Step 6: Final answer
    x = 4,020.51

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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.