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Finding the Fourth Proportional to 3,043.74, 4,200.09 and 1,784.61

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Solution

The fourth proportional to 3,043.74, 4,200.09 and 1,784.61 is: 2,462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.74 : 4,200.09 = 1,784.61 : x
  2. Step 2: Convert to fraction form
    3,043.74/4,200.09 = 1,784.61/x
  3. Step 3: Cross multiply
    3,043.74x = 4,200.09 × 1,784.61
  4. Step 4: Simplify right side
    3,043.74x = 7,495,522.61
  5. Step 5: Solve for x
    x = 7,495,522.61/3,043.74
  6. Step 6: Final answer
    x = 2,462.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.