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Finding the Fourth Proportional to 2,969.72, 4,455.03 and 2,154.15

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Solution

The fourth proportional to 2,969.72, 4,455.03 and 2,154.15 is: 3,231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.72 : 4,455.03 = 2,154.15 : x
  2. Step 2: Convert to fraction form
    2,969.72/4,455.03 = 2,154.15/x
  3. Step 3: Cross multiply
    2,969.72x = 4,455.03 × 2,154.15
  4. Step 4: Simplify right side
    2,969.72x = 9,596,810.95
  5. Step 5: Solve for x
    x = 9,596,810.95/2,969.72
  6. Step 6: Final answer
    x = 3,231.56

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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.