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Finding the Fourth Proportional to 3,580.53, 5,370.13 and 983.44

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Solution

The fourth proportional to 3,580.53, 5,370.13 and 983.44 is: 1,474.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.53 : 5,370.13 = 983.44 : x
  2. Step 2: Convert to fraction form
    3,580.53/5,370.13 = 983.44/x
  3. Step 3: Cross multiply
    3,580.53x = 5,370.13 × 983.44
  4. Step 4: Simplify right side
    3,580.53x = 5,281,200.65
  5. Step 5: Solve for x
    x = 5,281,200.65/3,580.53
  6. Step 6: Final answer
    x = 1,474.98

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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.