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Finding the Fourth Proportional to 3,124.04, 4,687.68 and 1,828.04

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Solution

The fourth proportional to 3,124.04, 4,687.68 and 1,828.04 is: 2,743.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.04 : 4,687.68 = 1,828.04 : x
  2. Step 2: Convert to fraction form
    3,124.04/4,687.68 = 1,828.04/x
  3. Step 3: Cross multiply
    3,124.04x = 4,687.68 × 1,828.04
  4. Step 4: Simplify right side
    3,124.04x = 8,569,266.55
  5. Step 5: Solve for x
    x = 8,569,266.55/3,124.04
  6. Step 6: Final answer
    x = 2,743.01

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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.