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Finding the Fourth Proportional to 5,271.84, 7,274.57 and 2,913.66

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Solution

The fourth proportional to 5,271.84, 7,274.57 and 2,913.66 is: 4,020.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.84 : 7,274.57 = 2,913.66 : x
  2. Step 2: Convert to fraction form
    5,271.84/7,274.57 = 2,913.66/x
  3. Step 3: Cross multiply
    5,271.84x = 7,274.57 × 2,913.66
  4. Step 4: Simplify right side
    5,271.84x = 21,195,623.63
  5. Step 5: Solve for x
    x = 21,195,623.63/5,271.84
  6. Step 6: Final answer
    x = 4,020.54

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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.