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Finding the Fourth Proportional to 2,981.63, 4,469.54 and 1,421.22

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Solution

The fourth proportional to 2,981.63, 4,469.54 and 1,421.22 is: 2,130.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.63 : 4,469.54 = 1,421.22 : x
  2. Step 2: Convert to fraction form
    2,981.63/4,469.54 = 1,421.22/x
  3. Step 3: Cross multiply
    2,981.63x = 4,469.54 × 1,421.22
  4. Step 4: Simplify right side
    2,981.63x = 6,352,175.77
  5. Step 5: Solve for x
    x = 6,352,175.77/2,981.63
  6. Step 6: Final answer
    x = 2,130.44

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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.