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Finding the Fourth Proportional to 5,323, 7,990.68 and 2,862.64

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Solution

The fourth proportional to 5,323, 7,990.68 and 2,862.64 is: 4,297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323 : 7,990.68 = 2,862.64 : x
  2. Step 2: Convert to fraction form
    5,323/7,990.68 = 2,862.64/x
  3. Step 3: Cross multiply
    5,323x = 7,990.68 × 2,862.64
  4. Step 4: Simplify right side
    5,323x = 22,874,440.20
  5. Step 5: Solve for x
    x = 22,874,440.20/5,323
  6. Step 6: Final answer
    x = 4,297.28

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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.