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Finding the Fourth Proportional to 5,996, 8,988.60 and 3,220.40

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Solution

The fourth proportional to 5,996, 8,988.60 and 3,220.40 is: 4,827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996 : 8,988.60 = 3,220.40 : x
  2. Step 2: Convert to fraction form
    5,996/8,988.60 = 3,220.40/x
  3. Step 3: Cross multiply
    5,996x = 8,988.60 × 3,220.40
  4. Step 4: Simplify right side
    5,996x = 28,946,887.44
  5. Step 5: Solve for x
    x = 28,946,887.44/5,996
  6. Step 6: Final answer
    x = 4,827.70

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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.