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Finding the Fourth Proportional to 2,115.24, 3,171.96 and 654

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Solution

The fourth proportional to 2,115.24, 3,171.96 and 654 is: 980.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.24 : 3,171.96 = 654 : x
  2. Step 2: Convert to fraction form
    2,115.24/3,171.96 = 654/x
  3. Step 3: Cross multiply
    2,115.24x = 3,171.96 × 654
  4. Step 4: Simplify right side
    2,115.24x = 2,074,461.84
  5. Step 5: Solve for x
    x = 2,074,461.84/2,115.24
  6. Step 6: Final answer
    x = 980.72

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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.