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Finding the Fourth Proportional to 5,271.88, 7,913.18 and 2,641.28

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Solution

The fourth proportional to 5,271.88, 7,913.18 and 2,641.28 is: 3,964.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.88 : 7,913.18 = 2,641.28 : x
  2. Step 2: Convert to fraction form
    5,271.88/7,913.18 = 2,641.28/x
  3. Step 3: Cross multiply
    5,271.88x = 7,913.18 × 2,641.28
  4. Step 4: Simplify right side
    5,271.88x = 20,900,924.07
  5. Step 5: Solve for x
    x = 20,900,924.07/5,271.88
  6. Step 6: Final answer
    x = 3,964.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.