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Finding the Fourth Proportional to 3,043, 4,197.66 and 2,046.52

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Solution

The fourth proportional to 3,043, 4,197.66 and 2,046.52 is: 2,823.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043 : 4,197.66 = 2,046.52 : x
  2. Step 2: Convert to fraction form
    3,043/4,197.66 = 2,046.52/x
  3. Step 3: Cross multiply
    3,043x = 4,197.66 × 2,046.52
  4. Step 4: Simplify right side
    3,043x = 8,590,595.14
  5. Step 5: Solve for x
    x = 8,590,595.14/3,043
  6. Step 6: Final answer
    x = 2,823.07

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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.