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Finding the Fourth Proportional to 3,583, 5,373.84 and 985.60

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Solution

The fourth proportional to 3,583, 5,373.84 and 985.60 is: 1,478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583 : 5,373.84 = 985.60 : x
  2. Step 2: Convert to fraction form
    3,583/5,373.84 = 985.60/x
  3. Step 3: Cross multiply
    3,583x = 5,373.84 × 985.60
  4. Step 4: Simplify right side
    3,583x = 5,296,456.70
  5. Step 5: Solve for x
    x = 5,296,456.70/3,583
  6. Step 6: Final answer
    x = 1,478.22

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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.