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Finding the Fourth Proportional to 2,154.40, 3,230.91 and 693.20

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Solution

The fourth proportional to 2,154.40, 3,230.91 and 693.20 is: 1,039.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.40 : 3,230.91 = 693.20 : x
  2. Step 2: Convert to fraction form
    2,154.40/3,230.91 = 693.20/x
  3. Step 3: Cross multiply
    2,154.40x = 3,230.91 × 693.20
  4. Step 4: Simplify right side
    2,154.40x = 2,239,674.89
  5. Step 5: Solve for x
    x = 2,239,674.89/2,154.40
  6. Step 6: Final answer
    x = 1,039.58

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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.