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Finding the Fourth Proportional to 6,389.64, 9,583.20 and 2,690.64

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Solution

The fourth proportional to 6,389.64, 9,583.20 and 2,690.64 is: 4,035.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.64 : 9,583.20 = 2,690.64 : x
  2. Step 2: Convert to fraction form
    6,389.64/9,583.20 = 2,690.64/x
  3. Step 3: Cross multiply
    6,389.64x = 9,583.20 × 2,690.64
  4. Step 4: Simplify right side
    6,389.64x = 25,784,941.25
  5. Step 5: Solve for x
    x = 25,784,941.25/6,389.64
  6. Step 6: Final answer
    x = 4,035.43

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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.