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Finding the Fourth Proportional to 2,802.10, 4,197.69 and 1,629.22

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Solution

The fourth proportional to 2,802.10, 4,197.69 and 1,629.22 is: 2,440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.10 : 4,197.69 = 1,629.22 : x
  2. Step 2: Convert to fraction form
    2,802.10/4,197.69 = 1,629.22/x
  3. Step 3: Cross multiply
    2,802.10x = 4,197.69 × 1,629.22
  4. Step 4: Simplify right side
    2,802.10x = 6,838,960.50
  5. Step 5: Solve for x
    x = 6,838,960.50/2,802.10
  6. Step 6: Final answer
    x = 2,440.66

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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.