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Finding the Fourth Proportional to 3,648, 5,043.84 and 3,484.80

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Solution

The fourth proportional to 3,648, 5,043.84 and 3,484.80 is: 4,818.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648 : 5,043.84 = 3,484.80 : x
  2. Step 2: Convert to fraction form
    3,648/5,043.84 = 3,484.80/x
  3. Step 3: Cross multiply
    3,648x = 5,043.84 × 3,484.80
  4. Step 4: Simplify right side
    3,648x = 17,576,773.63
  5. Step 5: Solve for x
    x = 17,576,773.63/3,648
  6. Step 6: Final answer
    x = 4,818.19

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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.