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Finding the Fourth Proportional to 3,673.68, 5,511.80 and 1,365.84

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Solution

The fourth proportional to 3,673.68, 5,511.80 and 1,365.84 is: 2,049.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.68 : 5,511.80 = 1,365.84 : x
  2. Step 2: Convert to fraction form
    3,673.68/5,511.80 = 1,365.84/x
  3. Step 3: Cross multiply
    3,673.68x = 5,511.80 × 1,365.84
  4. Step 4: Simplify right side
    3,673.68x = 7,528,236.91
  5. Step 5: Solve for x
    x = 7,528,236.91/3,673.68
  6. Step 6: Final answer
    x = 2,049.24

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1.5x scale

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.