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Finding the Fourth Proportional to 5,325.71, 7,981.62 and 2,857.64

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Solution

The fourth proportional to 5,325.71, 7,981.62 and 2,857.64 is: 4,282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.71 : 7,981.62 = 2,857.64 : x
  2. Step 2: Convert to fraction form
    5,325.71/7,981.62 = 2,857.64/x
  3. Step 3: Cross multiply
    5,325.71x = 7,981.62 × 2,857.64
  4. Step 4: Simplify right side
    5,325.71x = 22,808,556.67
  5. Step 5: Solve for x
    x = 22,808,556.67/5,325.71
  6. Step 6: Final answer
    x = 4,282.73

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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.