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Finding the Fourth Proportional to 2,145.40, 3,217.02 and 990.52

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Solution

The fourth proportional to 2,145.40, 3,217.02 and 990.52 is: 1,485.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.40 : 3,217.02 = 990.52 : x
  2. Step 2: Convert to fraction form
    2,145.40/3,217.02 = 990.52/x
  3. Step 3: Cross multiply
    2,145.40x = 3,217.02 × 990.52
  4. Step 4: Simplify right side
    2,145.40x = 3,186,522.65
  5. Step 5: Solve for x
    x = 3,186,522.65/2,145.40
  6. Step 6: Final answer
    x = 1,485.28

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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.